89728632 has 96 divisors (see below), whose sum is σ = 286740480. Its totient is φ = 24805440.

The previous prime is 89728631. The next prime is 89728679. The reversal of 89728632 is 23682798.

89728632 is a `hidden beast` number, since 8 + 9 + 7 + 2 + 8 + 632 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89728631) by changing a digit.

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, 12753 + ... + 18495.

It is an arithmetic number, because the mean of its divisors is an integer number (2986880).

Almost surely, 2^89728632 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 89728632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143370240).

89728632 is an abundant number, since it is smaller than the sum of its proper divisors (197011848).

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

89728632 is a wasteful number, since it uses less digits than its factorization.

89728632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5793 (or 5786 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 89728632 is about 9472.5198337085. The cubic root of 89728632 is about 447.6896101497.

The spelling of 89728632 in words is "eighty-nine million, seven hundred twenty-eight thousand, six hundred thirty-two".