115328 has 32 divisors (see below), whose sum is σ = 247860. Its totient is φ = 53248.

The previous prime is 115327. The next prime is 115331. The reversal of 115328 is 823511.

It can be written as a sum of positive squares in 2 ways, for example, as 107584 + 7744 = 328^2 + 88^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (115321) 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, 2150 + ... + 2202.

2¹¹⁵³²⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123930).

115328 is an abundant number, since it is smaller than the sum of its proper divisors (132532).

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

115328 is an equidigital number, since it uses as much as digits as its factorization.

115328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 72 counting only the distinct ones).

The product of its digits is 240, while the sum is 20.

The square root of 115328 is about 339.5997644287. The cubic root of 115328 is about 48.6756306334.

Adding to 115328 its reverse (823511), we get a palindrome (938839).

The spelling of 115328 in words is "one hundred fifteen thousand, three hundred twenty-eight".