115628800 has 216 divisors, whose sum is σ = 342165600. Its totient is φ = 37847040.

The previous prime is 115628767. The next prime is 115628833. The reversal of 115628800 is 8826511.

It is an interprime number because it is at equal distance from previous prime (115628767) and next prime (115628833).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1299156 + ... + 1299244.

It is an arithmetic number, because the mean of its divisors is an integer number (1584100).

Almost surely, 2^115628800 is an apocalyptic number.

115628800 is a gapful number since it is divisible by the number (10) 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 115628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171082800).

115628800 is an abundant number, since it is smaller than the sum of its proper divisors (226536800).

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

115628800 is an equidigital number, since it uses as much as digits as its factorization.

115628800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 31.

The square root of 115628800 is about 10753.0832787624. The cubic root of 115628800 is about 487.1791270021.

The spelling of 115628800 in words is "one hundred fifteen million, six hundred twenty-eight thousand, eight hundred".