27968904 has 48 divisors (see below), whose sum is σ = 76003200. Its totient is φ = 9291744.

The previous prime is 27968903. The next prime is 27968909. The reversal of 27968904 is 40986972.

It is a happy number.

It is a super-2 number, since 2×27968904² = 1564519181922432, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 27968904.

It is not an unprimeable number, because it can be changed into a prime (27968903) 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 11 ways as a sum of consecutive naturals, for example, 32917 + ... + 33755.

It is an arithmetic number, because the mean of its divisors is an integer number (1583400).

Almost surely, 2^27968904 is an apocalyptic number.

27968904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

27968904 is an abundant number, since it is smaller than the sum of its proper divisors (48034296).

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

27968904 is a wasteful number, since it uses less digits than its factorization.

27968904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 27968904 is about 5288.5635100658. The cubic root of 27968904 is about 303.5464439164.

The spelling of 27968904 in words is "twenty-seven million, nine hundred sixty-eight thousand, nine hundred four".