27982272 has 56 divisors (see below), whose sum is σ = 78400656. Its totient is φ = 8777728.

The previous prime is 27982271. The next prime is 27982277. The reversal of 27982272 is 27228972.

It is a self number, because there is not a number n which added to its sum of digits gives 27982272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27982271) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1023 + ... + 7550.

Almost surely, 2^27982272 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 27982272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39200328).

27982272 is an abundant number, since it is smaller than the sum of its proper divisors (50418384).

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

27982272 is a wasteful number, since it uses less digits than its factorization.

27982272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8605 (or 8595 counting only the distinct ones).

The product of its digits is 56448, while the sum is 39.

The square root of 27982272 is about 5289.8272183503. The cubic root of 27982272 is about 303.5947971703.

The spelling of 27982272 in words is "twenty-seven million, nine hundred eighty-two thousand, two hundred seventy-two".