This screw-in type Nikkor F metal lens hood is for the first Nikkor-H 28mm f/3.5 lens (first to be marked 28mm, rather than 2.8cm) from 1967.

See here, in de Stoutz database:

https://www.destoutz.ch/lens_28mm_f3.5_359436.html

This hood is new in the box, never used.