115928289 has 27 divisors (see below), whose sum is σ = 173892537. Its totient is φ = 74421504.

The previous prime is 115928269. The next prime is 115928297. The reversal of 115928289 is 982829511.

The square root of 115928289 is 10767.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 17918289 + 98010000 = 4233^2 + 9900^2 .

It is not a de Polignac number, because 115928289 - 2²³ = 107539681 is a prime.

It is not an unprimeable number, because it can be changed into a prime (115928209) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1195089 + ... + 1195185.

Almost surely, 2^115928289 is an apocalyptic number.

115928289 is the 10767-th square number.

115928289 is the 5384-th centered octagonal number.

It is an amenable number.

115928289 is a deficient number, since it is larger than the sum of its proper divisors (57964248).

115928289 is an frugal number, since it uses more digits than its factorization.

115928289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 137 counting only the distinct ones).

The product of its digits is 103680, while the sum is 45.

The cubic root of 115928289 is about 487.5993769793.

It can be divided in two parts, 11592 and 8289, that added together give a square (19881 = 141²).

The spelling of 115928289 in words is "one hundred fifteen million, nine hundred twenty-eight thousand, two hundred eighty-nine".