27712768 has 36 divisors (see below), whose sum is σ = 55907488. Its totient is φ = 13708800.

The previous prime is 27712757. The next prime is 27712793. The reversal of 27712768 is 86721772.

It is a self number, because there is not a number n which added to its sum of digits gives 27712768.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25843 + ... + 26893.

Almost surely, 2^27712768 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 27712768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27953744).

27712768 is an abundant number, since it is smaller than the sum of its proper divisors (28194720).

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

27712768 is a wasteful number, since it uses less digits than its factorization.

27712768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1156 counting only the distinct ones).

The product of its digits is 65856, while the sum is 40.

The square root of 27712768 is about 5264.2917852262. The cubic root of 27712768 is about 302.6169863753.

The spelling of 27712768 in words is "twenty-seven million, seven hundred twelve thousand, seven hundred sixty-eight".