  Magnetic superconductors define a broad class of strongly correlated
materials in which superconductivity may coexist with either localized or
itinerant long-range magnetic order. In this work we consider a multiband model
of a disordered magnetic superconductor which realizes coexistence of
unconventional superconductivity and a spin-density-wave. We derive an exact
$T$-matrix and compute a single particle density of states in this system. In a
purely superconducting state the interband scattering potential leads to an
appearance of the localized Yu-Shiba-Rusinov bound states. Our main finding is
that in the fairly broad swath of the coexistence region superconductivity
remains fully gapped despite the presence of the impurity bands. We also
discuss the effects of spatial inhomogeneities on the density of states in
strongly contaminated superconductors.
