Hi, Nona.
I guess it's not uncommon to say "dialed the wrong number" in the States.
But, I'm not so sure there are any differences between "get" and "dial" in the context?
Here are my explanations.
You've got the wrong number --- the number I pressed 123-4567 and the number of the other party was 123-4567. So, I didn't dial the wrong number. It was either someone wrote me a wrong number or someone misprinted the phone number on the ads or something. I just copy the information that I've had.
You've dialed the wrong number -- the number I pressed 123-4567 and the number of the other party was 123-4568. So, I did dial the wrong number.
What do you think?
Thanks for your reply.