27933972 has 48 divisors (see below), whose sum is σ = 71414784. Its totient is φ = 8428000.

The previous prime is 27933967. The next prime is 27933973.

27933972 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27933973) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56647 + ... + 57137.

It is an arithmetic number, because the mean of its divisors is an integer number (1487808).

Almost surely, 2^27933972 is an apocalyptic number.

27933972 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27933972 is an abundant number, since it is smaller than the sum of its proper divisors (43480812).

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

27933972 is a wasteful number, since it uses less digits than its factorization.

27933972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 938 counting only the distinct ones).

The product of its digits is 142884, while the sum is 42.

The square root of 27933972 is about 5285.2598800816. The cubic root of 27933972 is about 303.4200189663.

The spelling of 27933972 in words is "twenty-seven million, nine hundred thirty-three thousand, nine hundred seventy-two".