115628560 has 40 divisors (see below), whose sum is σ = 284653656. Its totient is φ = 43530240.

The previous prime is 115628531. The next prime is 115628573. The reversal of 115628560 is 65826511.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 17539344 + 98089216 = 4188^2 + 9904^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41151 + ... + 43870.

Almost surely, 2^115628560 is an apocalyptic number.

115628560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115628560 is an abundant number, since it is smaller than the sum of its proper divisors (169025096).

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

115628560 is a wasteful number, since it uses less digits than its factorization.

115628560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85051 (or 85045 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

The square root of 115628560 is about 10753.0721191667. The cubic root of 115628560 is about 487.1787899377.

The spelling of 115628560 in words is "one hundred fifteen million, six hundred twenty-eight thousand, five hundred sixty".