89628320 has 48 divisors (see below), whose sum is σ = 222899040. Its totient is φ = 33963264.

The previous prime is 89628307. The next prime is 89628349. The reversal of 89628320 is 2382698.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11702 + ... + 17781.

It is an arithmetic number, because the mean of its divisors is an integer number (4643730).

Almost surely, 2^89628320 is an apocalyptic number.

89628320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89628320 is an abundant number, since it is smaller than the sum of its proper divisors (133270720).

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

89628320 is a wasteful number, since it uses less digits than its factorization.

89628320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29517 (or 29509 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 89628320 is about 9467.2234578043. The cubic root of 89628320 is about 447.5227166147.

The spelling of 89628320 in words is "eighty-nine million, six hundred twenty-eight thousand, three hundred twenty".