27872964 has 144 divisors (see below), whose sum is σ = 88099200. Its totient is φ = 7584192.

The previous prime is 27872959. The next prime is 27872969. The reversal of 27872964 is 46927872.

It is an interprime number because it is at equal distance from previous prime (27872959) and next prime (27872969).

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 not an unprimeable number, because it can be changed into a prime (27872969) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121602 + ... + 121830.

It is an arithmetic number, because the mean of its divisors is an integer number (611800).

Almost surely, 2^27872964 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 27872964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44049600).

27872964 is an abundant number, since it is smaller than the sum of its proper divisors (60226236).

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

27872964 is a wasteful number, since it uses less digits than its factorization.

27872964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 264 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 27872964 is about 5279.4852021764. The cubic root of 27872964 is about 303.1989674454.

The spelling of 27872964 in words is "twenty-seven million, eight hundred seventy-two thousand, nine hundred sixty-four".