My boyfriend never say "I'm sorry"?

My boyfriend is 38 so am I. We have been together 2 years and got engaged a year ago. He has a bad temper at times. He gets mad easily and when that happens, he starts telling me things to hurt me, things that has nothing to do with the problem we are arguing just to make things more intense or dramatic or just to hurt me.

I ask in the moment if he really means that and he says yes. He has said, I'm the worst gf he dated, he always mention something about braking up, he mentions things he have gave me like christmas or birthday presents or the times he has paid for dinners, taxis, bills, a membership for gym, trips, etc (I never have asked for money or to pay for any of my personal expenses, all he has paid is because he wanted that way) he also raises his voice yelling at my face and pointing at me very close with these eyes that makes me feel intimidated and I have said it hurts (what he says and the way he does it) but he doesn't care anything when he is mad. I let him say everything because he doesn't let me talk I can't win, and when he finishes yelling, I say u are hurting me very much with your words, do u really mean it? He says yes. Later when he feels more calm he starts to talk to me like nothing happened and expect me to act the same way??? What about an apology? That would help me to feel better but he doesn't say it. He can go all day without talking to me and I'm always the one who tries to fix the problem or to brake the ice between us.

I have tried to talk to him asking why he said this and that to me, he said "I don't know I was mad" I ask him do u really mean it? He says no of course not. But I see a big frustration in his eyes when he is mad and I think he feels every word he yells at me because the things he says when mad, it is true i mean that he has paid for things? Yes so have I. But I don't throw it to his face when I have a chance because what you give or pay is because you want it that way. So why do u guys think he doesn't apologizes?