989116128 has 576 divisors, whose sum is σ = 3909814272. Its totient is φ = 228925440.

The previous prime is 989116099. The next prime is 989116147. The reversal of 989116128 is 821611989.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13549500 + ... + 13549572.

It is an arithmetic number, because the mean of its divisors is an integer number (6787872).

Almost surely, 2^989116128 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 989116128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1954907136).

989116128 is an abundant number, since it is smaller than the sum of its proper divisors (2920698144).

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

989116128 is a wasteful number, since it uses less digits than its factorization.

989116128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 156 counting only the distinct ones).

The product of its digits is 62208, while the sum is 45.

The square root of 989116128 is about 31450.2166606210. The cubic root of 989116128 is about 996.3588004244.

The spelling of 989116128 in words is "nine hundred eighty-nine million, one hundred sixteen thousand, one hundred twenty-eight".