27638856 has 192 divisors, whose sum is σ = 92851200. Its totient is φ = 7257600.

The previous prime is 27638851. The next prime is 27638909. The reversal of 27638856 is 65883672.

27638856 is a `hidden beast` number, since 2 + 7 + 638 + 8 + 5 + 6 = 666.

Its product of digits (483840) is a multiple of the sum of its prime factors (140).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27638851) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 453066 + ... + 453126.

It is an arithmetic number, because the mean of its divisors is an integer number (483600).

Almost surely, 2^27638856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27638856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46425600).

27638856 is an abundant number, since it is smaller than the sum of its proper divisors (65212344).

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

27638856 is a wasteful number, since it uses less digits than its factorization.

27638856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 133 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 27638856 is about 5257.2669705846. The cubic root of 27638856 is about 302.3477128880.

The spelling of 27638856 in words is "twenty-seven million, six hundred thirty-eight thousand, eight hundred fifty-six".