985840128 has 240 divisors, whose sum is σ = 3503275776. Its totient is φ = 259891200.

The previous prime is 985840109. The next prime is 985840147. The reversal of 985840128 is 821048589.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (985840109) and next prime (985840147).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 418153 + ... + 420503.

Almost surely, 2^985840128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 985840128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751637888).

985840128 is an abundant number, since it is smaller than the sum of its proper divisors (2517435648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

985840128 is a wasteful number, since it uses less digits than its factorization.

985840128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2395 (or 2376 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 985840128 is about 31398.0911521704. The cubic root of 985840128 is about 995.2575877457.

The spelling of 985840128 in words is "nine hundred eighty-five million, eight hundred forty thousand, one hundred twenty-eight".