# Good luck guessing

Let $$N$$ be the smallest positive integer that is divisible by $$128$$ and has digit sum equal to $$128.$$ In decimal notation, $$N$$ consists of $$a$$ $$8$$'s, $$b$$ $$9$$'s and possibly some other digits. What is $$a \times b$$?

Details and assumptions

In decimal notation, $$128289$$ consists of $$2$$ $$8$$'s, $$1$$ $$9$$'s and some other digits.

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