88628800 has 84 divisors (see below), whose sum is σ = 234912916. Its totient is φ = 32716800.

The previous prime is 88628779. The next prime is 88628819. The reversal of 88628800 is 882688.

It can be written as a sum of positive squares in 6 ways, for example, as 118336 + 88510464 = 344^2 + 9408^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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, 18670 + ... + 22930.

Almost surely, 2^88628800 is an apocalyptic number.

88628800 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 88628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117456458).

88628800 is an abundant number, since it is smaller than the sum of its proper divisors (146284116).

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

88628800 is a wasteful number, since it uses less digits than its factorization.

88628800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4296 (or 4281 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 40.

The square root of 88628800 is about 9414.2870149576. The cubic root of 88628800 is about 445.8529279729.

The spelling of 88628800 in words is "eighty-eight million, six hundred twenty-eight thousand, eight hundred".