27931968 has 84 divisors (see below), whose sum is σ = 81308448. Its totient is φ = 9166080.

The previous prime is 27931963. The next prime is 27931979. The reversal of 27931968 is 86913972.

27931968 is a `hidden beast` number, since 279 + 319 + 68 = 666.

It is a super-3 number, since 3×27931968³ (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27931963) 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, 40555 + ... + 41237.

Almost surely, 2^27931968 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 27931968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40654224).

27931968 is an abundant number, since it is smaller than the sum of its proper divisors (53376480).

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

27931968 is a wasteful number, since it uses less digits than its factorization.

27931968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 759 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 27931968 is about 5285.0702928154. The cubic root of 27931968 is about 303.4127629477.

It can be divided in two parts, 2793 and 1968, that added together give a square (4761 = 69²).

The spelling of 27931968 in words is "twenty-seven million, nine hundred thirty-one thousand, nine hundred sixty-eight".