89044128 has 72 divisors (see below), whose sum is σ = 259429716. Its totient is φ = 28953600.

The previous prime is 89044117. The next prime is 89044133. The reversal of 89044128 is 82144098.

It can be written as a sum of positive squares in 2 ways, for example, as 68359824 + 20684304 = 8268^2 + 4548^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 89044092 and 89044101.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8038 + ... + 15578.

Almost surely, 2^89044128 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 89044128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129714858).

89044128 is an abundant number, since it is smaller than the sum of its proper divisors (170385588).

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

89044128 is a wasteful number, since it uses less digits than its factorization.

89044128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7598 (or 7587 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 89044128 is about 9436.3196215474. The cubic root of 89044128 is about 446.5482877301.

The spelling of 89044128 in words is "eighty-nine million, forty-four thousand, one hundred twenty-eight".