The superweak extension of the standard model is a minimal and economical extension of the
gauge, fermion and scalar sectors. Spontaneuous symmetry breaking of the new U(1) is driven by an extra complex scalar singlet $\chi$, whose non-vanishing vacuum expectation value gives mass to the new
neutral gauge boson $Z'$. The model also includes three extra sterile right-handed Majorana neutrinos. All the new particles lie on MeV and GeV scales, but are undiscovered yet due to their small couplings to fields of the standard model. Nonstandard interactions arising from the model can be used to constrain the parameters of the model. We find that the new gauge coupling lies between $\mathcal{O}(10^{-3})$ and $\mathcal{O}(10^{-6})$.