115728960 has 56 divisors (see below), whose sum is σ = 367442496. Its totient is φ = 30860800.

The previous prime is 115728959. The next prime is 115728961. The reversal of 115728960 is 69827511.

It is an interprime number because it is at equal distance from previous prime (115728959) and next prime (115728961).

It is not an unprimeable number, because it can be changed into a prime (115728961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59316 + ... + 61235.

Almost surely, 2^115728960 is an apocalyptic number.

115728960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115728960 is an abundant number, since it is smaller than the sum of its proper divisors (251713536).

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

115728960 is a wasteful number, since it uses less digits than its factorization.

115728960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120571 (or 120561 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

The square root of 115728960 is about 10757.7395395129. The cubic root of 115728960 is about 487.3197545356.

The spelling of 115728960 in words is "one hundred fifteen million, seven hundred twenty-eight thousand, nine hundred sixty".