27772992 has 84 divisors (see below), whose sum is σ = 85752940. Its totient is φ = 8543232.

The previous prime is 27772991. The next prime is 27773077. The reversal of 27772992 is 29927772.

It can be written as a sum of positive squares in 2 ways, for example, as 5645376 + 22127616 = 2376^2 + 4704^2 .

It is not an unprimeable number, because it can be changed into a prime (27772991) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5634 + ... + 9342.

Almost surely, 2^27772992 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 27772992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42876470).

27772992 is an abundant number, since it is smaller than the sum of its proper divisors (57979948).

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

27772992 is a wasteful number, since it uses less digits than its factorization.

27772992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3740 (or 3727 counting only the distinct ones).

The product of its digits is 222264, while the sum is 45.

The square root of 27772992 is about 5270.0087286455. The cubic root of 27772992 is about 302.8360384690.

The spelling of 27772992 in words is "twenty-seven million, seven hundred seventy-two thousand, nine hundred ninety-two".