89953128 has 96 divisors (see below), whose sum is σ = 256183200. Its totient is φ = 28473984.

The previous prime is 89953117. The next prime is 89953133. The reversal of 89953128 is 82135998.

It is a happy number.

89953128 is a `hidden beast` number, since 8 + 99 + 531 + 28 = 666.

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 23 ways as a sum of consecutive naturals, for example, 139575 + ... + 140217.

It is an arithmetic number, because the mean of its divisors is an integer number (2668575).

Almost surely, 2^89953128 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 89953128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128091600).

89953128 is an abundant number, since it is smaller than the sum of its proper divisors (166230072).

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

89953128 is a wasteful number, since it uses less digits than its factorization.

89953128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 744 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 89953128 is about 9484.3622874709. The cubic root of 89953128 is about 448.0626639598.

The spelling of 89953128 in words is "eighty-nine million, nine hundred fifty-three thousand, one hundred twenty-eight".