Display Parent page's name

Hello there,

I would like to have the parent page’s name to display in each page’s path (which makes my title).
So far I found this line of code to have the parent page display as a link within the page path:

<?php $permalink = get_permalink($post->post_parent); ?>
<a href="<?php echo $permalink; ?>">Parent</a>

this is what I’m looking for but instead of having the word “parent” I would need the parent page’s NAME.

Any idea?
thank you!