115265628 has 72 divisors (see below), whose sum is σ = 313913600. Its totient is φ = 35544096.

The previous prime is 115265603. The next prime is 115265629. The reversal of 115265628 is 826562511.

115265628 is a `hidden beast` number, since 1 + 1 + 5 + 26 + 5 + 628 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 115265592 and 115265601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115265629) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27453 + ... + 31371.

Almost surely, 2^115265628 is an apocalyptic number.

115265628 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 115265628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156956800).

115265628 is an abundant number, since it is smaller than the sum of its proper divisors (198647972).

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

115265628 is a wasteful number, since it uses less digits than its factorization.

115265628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3991 (or 3986 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 115265628 is about 10736.1831206439. The cubic root of 115265628 is about 486.6685408906.

The spelling of 115265628 in words is "one hundred fifteen million, two hundred sixty-five thousand, six hundred twenty-eight".