Let's break down the expression step by step.
The expression is: \[ (240 : (-8) + (-12)(-4) - 28) : 5 \]
Solve \(240 : (-8)\): \[ 240 \div (-8) = -30 \]
Solve \((-12)(-4)\): \[ -12 \times -4 = 48 \]
Now, substitute these results back into the expression: \[ (-30) + 48 - 28 \]
Calculate \(-30 + 48\): \[ -30 + 48 = 18 \]
Now, calculate \(18 - 28\): \[ 18 - 28 = -10 \]
Finally, substitute back into the original expression: \[ (-10) : 5 \]
Calculate \(-10 : 5\): \[ -10 \div 5 = -2 \]
Therefore, the final result is: \[ \boxed{-2} \]