iPod Touch 5th Gen not turning on

Hey, this is my problem.

First, my Home Button is broken for 2 months already.

And a while ago, it unexpectedly shut down without any warning.

Then it's not turning on.

I tried plugging it to my imac, but it only shows the apple logo and not turning on to its interface.

It just keeps on repeating the apple logo.

I also tried different cables already.

Do I have any hope?

Please help me. Thank you.