27933768 has 64 divisors (see below), whose sum is σ = 78624000. Its totient is φ = 9187776.

The previous prime is 27933761. The next prime is 27933793. The reversal of 27933768 is 86733972.

It is a happy number.

27933768 is a `hidden beast` number, since 279 + 3 + 376 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (27933761) 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 15 ways as a sum of consecutive naturals, for example, 16246 + ... + 17882.

It is an arithmetic number, because the mean of its divisors is an integer number (1228500).

Almost surely, 2^27933768 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 27933768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39312000).

27933768 is an abundant number, since it is smaller than the sum of its proper divisors (50690232).

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

27933768 is a wasteful number, since it uses less digits than its factorization.

27933768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1731 (or 1721 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 27933768 is about 5285.2405810899. The cubic root of 27933768 is about 303.4192803455.

It can be divided in two parts, 2793 and 3768, that added together give a 8-th power (6561 = 3⁸).

The spelling of 27933768 in words is "twenty-seven million, nine hundred thirty-three thousand, seven hundred sixty-eight".