A square metal sheet of 4 m \( \times \) 4 m is placed on the x-y plane as shown in the figure below.
If the surface charge density (in \( \mu \)C/m\(^2\)) on the sheet is \( \rho_s(x, y) = 4|y| \), then the total charge (in \( \mu \)C, rounded off to the nearest integer) on the sheet is _________.