88728320 has 72 divisors (see below), whose sum is σ = 214914336. Its totient is φ = 35094528.

The previous prime is 88728251. The next prime is 88728337. The reversal of 88728320 is 2382788.

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, 131504 + ... + 132176.

Almost surely, 2^88728320 is an apocalyptic number.

88728320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88728320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107457168).

88728320 is an abundant number, since it is smaller than the sum of its proper divisors (126186016).

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

88728320 is a wasteful number, since it uses less digits than its factorization.

88728320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 88728320 is about 9419.5711155020. The cubic root of 88728320 is about 446.0197461546.

The spelling of 88728320 in words is "eighty-eight million, seven hundred twenty-eight thousand, three hundred twenty".