  It is now well known that the properties of the disordered s wave
superconductors can deviate significantly from the prediction of standard
Bardeen-Cooper-Schrieffer (BCS) theory. By measuring the temperature dependence
of the resonance frequency, $f_0$, of microwave resonators made from disordered
NbTiN and TiN thin films, at low temperatures, below half of the
superconducting critical temperature, $T_c$, Driessen et al.
\cite{driessen2012PRL} demonstrated that $f_0$ vanishes faster than predicted
from the BCS theory. Here, we report on the temperature dependence of $f_0$ of
microwave resonators made from disordered NbN thin films at higher
temperatures--- typically from 0.4 to 0.8$T_c$. In this temperature range, we
demonstrate that $f_0$ vanishes slower than predicted from the BCS theory. We
discuss the possible role of electronic inhomogeneity and possibility of
appearing a pseudogap-like feature. We also discuss the possibility of a faster
downturn of the superfluid density, $n_s$, near $T_c$, resembling a
Berezinski--Kosterlitz--Thoules (BKT) type transition.
