Mathematica: Underflow/overflow

Does anyone know how to solve the underflow or overflow error messages
in mathematica?

I have a nonlinear equation to solve and get both error messages
because of the magnitude of the numbers involved.
The equation is the following:

2.8*10^-30 * 2.7^(-2.8*10^33 *m^2) * (2.5*10^-33 + 2.3*10^-35 *
2.7^(2.8*10^-33 * m^2) * m^2) / m^4 = 1.9*10^-5

and i would like to look for solutions in the range m~10^-12 to
m~10^-6

Many thanks
Marina

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