27688320 has 384 divisors, whose sum is σ = 114566400. Its totient is φ = 6082560.

The previous prime is 27688303. The next prime is 27688333. The reversal of 27688320 is 2388672.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1203829 + ... + 1203851.

It is an arithmetic number, because the mean of its divisors is an integer number (298350).

Almost surely, 2^27688320 is an apocalyptic number.

27688320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27688320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57283200).

27688320 is an abundant number, since it is smaller than the sum of its proper divisors (86878080).

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

27688320 is a wasteful number, since it uses less digits than its factorization.

27688320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 63 counting only the distinct ones).

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

The square root of 27688320 is about 5261.9692131368. The cubic root of 27688320 is about 302.5279713679.

The spelling of 27688320 in words is "twenty-seven million, six hundred eighty-eight thousand, three hundred twenty".