27977972 has 48 divisors (see below), whose sum is σ = 55544832. Its totient is φ = 12221280.

The previous prime is 27977923. The next prime is 27977981.

27977972 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 27977972.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171563 + ... + 171725.

It is an arithmetic number, because the mean of its divisors is an integer number (1157184).

Almost surely, 2^27977972 is an apocalyptic number.

27977972 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27977972 is a deficient number, since it is larger than the sum of its proper divisors (27566860).

27977972 is a wasteful number, since it uses less digits than its factorization.

27977972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 306 counting only the distinct ones).

The product of its digits is 777924, while the sum is 50.

The square root of 27977972 is about 5289.4207622385. The cubic root of 27977972 is about 303.5792453654.

The spelling of 27977972 in words is "twenty-seven million, nine hundred seventy-seven thousand, nine hundred seventy-two".