Question: Sum of BigOmega

I am trying to do the following sum

with(numtheory):
sum(bigomega(j),j=1..n)

But I get this error message

"Error, invalid input: numtheory:-bigomega expects its 1st argument, x, to be of type integer, but received j."

I have tried

assume(j,'integer');

but this has no effect. I'm a bit puzzled why Bigomega doesn't work in summations as  other Numtheory functions I've used have all worked.

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