27968328 has 48 divisors (see below), whose sum is σ = 78558480. Its totient is φ = 9322128.

The previous prime is 27968327. The next prime is 27968333. The reversal of 27968328 is 82386972.

It is a super-2 number, since 2×27968328² = 1564454742231168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27968327) 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, 5250 + ... + 9137.

It is an arithmetic number, because the mean of its divisors is an integer number (1636635).

Almost surely, 2^27968328 is an apocalyptic number.

It is an amenable number.

27968328 is an abundant number, since it is smaller than the sum of its proper divisors (50590152).

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

27968328 is a wasteful number, since it uses less digits than its factorization.

27968328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14408 (or 14392 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 27968328 is about 5288.5090526537. The cubic root of 27968328 is about 303.5443601266.

The spelling of 27968328 in words is "twenty-seven million, nine hundred sixty-eight thousand, three hundred twenty-eight".