115885728 has 144 divisors (see below), whose sum is σ = 390761280. Its totient is φ = 33094656.

The previous prime is 115885717. The next prime is 115885733. The reversal of 115885728 is 827588511.

115885728 is a `hidden beast` number, since 11 + 588 + 57 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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, 53368 + ... + 55496.

It is an arithmetic number, because the mean of its divisors is an integer number (2713620).

Almost surely, 2^115885728 is an apocalyptic number.

115885728 is a gapful number since it is divisible by the number (18) 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 115885728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195380640).

115885728 is an abundant number, since it is smaller than the sum of its proper divisors (274875552).

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

115885728 is an equidigital number, since it uses as much as digits as its factorization.

115885728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2161 (or 2141 counting only the distinct ones).

The product of its digits is 179200, while the sum is 45.

The square root of 115885728 is about 10765.0233627243. The cubic root of 115885728 is about 487.5396985423.

The spelling of 115885728 in words is "one hundred fifteen million, eight hundred eighty-five thousand, seven hundred twenty-eight".