27979968 has 56 divisors (see below), whose sum is σ = 75275440. Its totient is φ = 9169920.

The previous prime is 27979961. The next prime is 27979981. The reversal of 27979968 is 86997972.

It is not an unprimeable number, because it can be changed into a prime (27979961) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 10518 + ... + 12906.

Almost surely, 2^27979968 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 27979968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37637720).

27979968 is an abundant number, since it is smaller than the sum of its proper divisors (47295472).

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

27979968 is a wasteful number, since it uses less digits than its factorization.

27979968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2465 (or 2455 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 57.

The square root of 27979968 is about 5289.6094373782. The cubic root of 27979968 is about 303.5864644943.

The spelling of 27979968 in words is "twenty-seven million, nine hundred seventy-nine thousand, nine hundred sixty-eight".