27984264 has 128 divisors (see below), whose sum is σ = 91929600. Its totient is φ = 6877440.

The previous prime is 27984259. The next prime is 27984269. The reversal of 27984264 is 46248972.

27984264 = 308² + 309² + ... + 483².

It is an interprime number because it is at equal distance from previous prime (27984259) and next prime (27984269).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (27984269) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34714 + ... + 35510.

It is an arithmetic number, because the mean of its divisors is an integer number (718200).

Almost surely, 2^27984264 is an apocalyptic number.

27984264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27984264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45964800).

27984264 is an abundant number, since it is smaller than the sum of its proper divisors (63945336).

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

27984264 is a wasteful number, since it uses less digits than its factorization.

27984264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 839 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 27984264 is about 5290.0155009225. The cubic root of 27984264 is about 303.6020010943.

The spelling of 27984264 in words is "twenty-seven million, nine hundred eighty-four thousand, two hundred sixty-four".