27628560 has 80 divisors (see below), whose sum is σ = 95172480. Its totient is φ = 7367040.

The previous prime is 27628511. The next prime is 27628567. The reversal of 27628560 is 6582672.

27628560 is a `hidden beast` number, since 2 + 76 + 28 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (27628567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4236 + ... + 8555.

It is an arithmetic number, because the mean of its divisors is an integer number (1189656).

Almost surely, 2^27628560 is an apocalyptic number.

27628560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27628560 is an abundant number, since it is smaller than the sum of its proper divisors (67543920).

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

27628560 is a wasteful number, since it uses less digits than its factorization.

27628560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12813 (or 12801 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 27628560 is about 5256.2876633609. The cubic root of 27628560 is about 302.3101647989.

The spelling of 27628560 in words is "twenty-seven million, six hundred twenty-eight thousand, five hundred sixty".