27982656 has 168 divisors, whose sum is σ = 89589864. Its totient is φ = 8294400.

The previous prime is 27982627. The next prime is 27982673. The reversal of 27982656 is 65628972.

It can be written as a sum of positive squares in 4 ways, for example, as 12110400 + 15872256 = 3480^2 + 3984^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 277006 + ... + 277106.

It is an arithmetic number, because the mean of its divisors is an integer number (533273).

Almost surely, 2^27982656 is an apocalyptic number.

27982656 is a gapful number since it is divisible by the number (26) 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 27982656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44794932).

27982656 is an abundant number, since it is smaller than the sum of its proper divisors (61607208).

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

27982656 is a wasteful number, since it uses less digits than its factorization.

27982656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 156 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 27982656 is about 5289.8635143073. The cubic root of 27982656 is about 303.5961859051.

The spelling of 27982656 in words is "twenty-seven million, nine hundred eighty-two thousand, six hundred fifty-six".