89981928 has 128 divisors (see below), whose sum is σ = 261744000. Its totient is φ = 28973376.

The previous prime is 89981909. The next prime is 89981963. The reversal of 89981928 is 82918998.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 647283 + ... + 647421.

It is an arithmetic number, because the mean of its divisors is an integer number (2044875).

Almost surely, 2^89981928 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 89981928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130872000).

89981928 is an abundant number, since it is smaller than the sum of its proper divisors (171762072).

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

89981928 is a wasteful number, since it uses less digits than its factorization.

89981928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 181 counting only the distinct ones).

The product of its digits is 746496, while the sum is 54.

The square root of 89981928 is about 9485.8804546547. The cubic root of 89981928 is about 448.1104771120.

It can be divided in two parts, 89981 and 928, that added together give a palindrome (90909).

The spelling of 89981928 in words is "eighty-nine million, nine hundred eighty-one thousand, nine hundred twenty-eight".