27688128 has 56 divisors (see below), whose sum is σ = 78900528. Its totient is φ = 8518656.

The previous prime is 27688117. The next prime is 27688139. The reversal of 27688128 is 82188672.

It is an interprime number because it is at equal distance from previous prime (27688117) and next prime (27688139).

It is a self number, because there is not a number n which added to its sum of digits gives 27688128.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3051 + ... + 8042.

It is an arithmetic number, because the mean of its divisors is an integer number (1408938).

Almost surely, 2^27688128 is an apocalyptic number.

It is an amenable number.

27688128 is an abundant number, since it is smaller than the sum of its proper divisors (51212400).

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

27688128 is a wasteful number, since it uses less digits than its factorization.

27688128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11121 (or 11111 counting only the distinct ones).

The product of its digits is 86016, while the sum is 42.

The square root of 27688128 is about 5261.9509689848. The cubic root of 27688128 is about 302.5272720898.

The spelling of 27688128 in words is "twenty-seven million, six hundred eighty-eight thousand, one hundred twenty-eight".