27664128 has 54 divisors (see below), whose sum is σ = 79769144. Its totient is φ = 9220608.

The previous prime is 27664127. The next prime is 27664139. The reversal of 27664128 is 82146672.

27664128 is a `hidden beast` number, since 2 + 7 + 6 + 641 + 2 + 8 = 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 = 27664092 and 27664101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27664127) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3700 + ... + 8307.

Almost surely, 2^27664128 is an apocalyptic number.

It is an amenable number.

27664128 is an abundant number, since it is smaller than the sum of its proper divisors (52105016).

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

27664128 is a wasteful number, since it uses less digits than its factorization.

27664128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12029 (or 12012 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 27664128 is about 5259.6699516224. The cubic root of 27664128 is about 302.4398368615.

The spelling of 27664128 in words is "twenty-seven million, six hundred sixty-four thousand, one hundred twenty-eight".