Doesn't leave a message, loves to call at 0700 and at 1130 PST, also calls in the evening, never leaves message.

I do not know who this is and I really don't want them calling me.

Keep calling, no message

They called hung up without saying a word I called them back they said something about publishers clearing house

Some  of the common scams listed here, on 800notes, are  the "you won a prize" or "free grant" or "award" scams.
Those scams are described here:
http://phonehelp.2truth.com/facts.html

(That site also has a link to Amazon's phone blocker devices and apps, as well as a page showing various government sites that accept complaints or warn about scams.)