89328384 has 108 divisors (see below), whose sum is σ = 260352456. Its totient is φ = 29454336.

The previous prime is 89328347. The next prime is 89328403. The reversal of 89328384 is 48382398.

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

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, 315507 + ... + 315789.

Almost surely, 2^89328384 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 89328384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130176228).

89328384 is an abundant number, since it is smaller than the sum of its proper divisors (171024072).

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

89328384 is a wasteful number, since it uses less digits than its factorization.

89328384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 425 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 89328384 is about 9451.3694245860. The cubic root of 89328384 is about 447.0229557449.

The spelling of 89328384 in words is "eighty-nine million, three hundred twenty-eight thousand, three hundred eighty-four".