As far as I know, there is no "correct" way of giving your phone number. So, this would be fine. However, some people would give yours as "Meine Nummer ist null-sieben-vierundvierzig zwo-achtundachtzig-drei-achtundachzig-null"
In reading out numbers, we often pronunce "2" as "zwo" instead of "zwei", because "zwei" and "drei" sound so similar, and "44" as "vierundvierzig" for the same reason you might say "double four".