115526628 has 192 divisors, whose sum is σ = 370137600. Its totient is φ = 30412800.

The previous prime is 115526581. The next prime is 115526629. The reversal of 115526628 is 826625511.

115526628 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 26 + 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 = 115526592 and 115526601.

It is not an unprimeable number, because it can be changed into a prime (115526629) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1143778 + ... + 1143878.

It is an arithmetic number, because the mean of its divisors is an integer number (1927800).

Almost surely, 2^115526628 is an apocalyptic number.

115526628 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 115526628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185068800).

115526628 is an abundant number, since it is smaller than the sum of its proper divisors (254610972).

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

115526628 is a wasteful number, since it uses less digits than its factorization.

115526628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 219 counting only the distinct ones).

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

The square root of 115526628 is about 10748.3314053857. The cubic root of 115526628 is about 487.0355908646.

The spelling of 115526628 in words is "one hundred fifteen million, five hundred twenty-six thousand, six hundred twenty-eight".