27688896 has 84 divisors (see below), whose sum is σ = 80951832. Its totient is φ = 9045504.

The previous prime is 27688873. The next prime is 27688901. The reversal of 27688896 is 69888672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30075 + ... + 30981.

Almost surely, 2^27688896 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 27688896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40475916).

27688896 is an abundant number, since it is smaller than the sum of its proper divisors (53262936).

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

27688896 is a wasteful number, since it uses less digits than its factorization.

27688896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 965 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 27688896 is about 5262.0239452135. The cubic root of 27688896 is about 302.5300691827.

It can be divided in two parts, 2768 and 8896, that added together give a square (11664 = 108²).

The spelling of 27688896 in words is "twenty-seven million, six hundred eighty-eight thousand, eight hundred ninety-six".