Why won't turn on?

Ok I was sitting on a chair and my phone was on the arm rest and when I got up it fell off cause I didn't realise it was a rocking chair. When I went to get it it fell right on its face and I thlught it wasn't that bad I could of been worse but no it won't turn on the phone was only 20% charged at the time as I was finding a charger my phone got really really hot. To the point where I could not touch it so we cold it down with an ice brick and put it on charge after being on charge for a while it still won't turn on even white that holding down the buttons. I only recently bought this phone please help. Me