115728 has 20 divisors (see below), whose sum is σ = 299088. Its totient is φ = 38560.

The previous prime is 115727. The next prime is 115733. The reversal of 115728 is 827511.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 115698 and 115707.

It is not an unprimeable number, because it can be changed into a prime (115727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1158 + ... + 1253.

2¹¹⁵⁷²⁸ is an apocalyptic number.

It is an amenable number.

115728 is an abundant number, since it is smaller than the sum of its proper divisors (183360).

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

115728 is a wasteful number, since it uses less digits than its factorization.

115728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2422 (or 2416 counting only the distinct ones).

The product of its digits is 560, while the sum is 24.

The square root of 115728 is about 340.1881832163. The cubic root of 115728 is about 48.7318407053.

The spelling of 115728 in words is "one hundred fifteen thousand, seven hundred twenty-eight".