115928064 has 176 divisors, whose sum is σ = 393024000. Its totient is φ = 33067008.

The previous prime is 115928041. The next prime is 115928069. The reversal of 115928064 is 460829511.

115928064 is a `hidden beast` number, since 1 + 1 + 592 + 8 + 0 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (115928069) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 193237 + ... + 193835.

Almost surely, 2^115928064 is an apocalyptic number.

115928064 is a gapful number since it is divisible by the number (14) 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 115928064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196512000).

115928064 is an abundant number, since it is smaller than the sum of its proper divisors (277095936).

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

115928064 is an equidigital number, since it uses as much as digits as its factorization.

115928064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 115928064 is about 10766.9895514020. The cubic root of 115928064 is about 487.5990615258.

The spelling of 115928064 in words is "one hundred fifteen million, nine hundred twenty-eight thousand, sixty-four".