27864832 has 36 divisors (see below), whose sum is σ = 56291760. Its totient is φ = 13764608.

The previous prime is 27864821. The next prime is 27864839. The reversal of 27864832 is 23846872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27864839) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22173 + ... + 23395.

It is an arithmetic number, because the mean of its divisors is an integer number (1563660).

Almost surely, 2^27864832 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 27864832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28145880).

27864832 is an abundant number, since it is smaller than the sum of its proper divisors (28426928).

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

27864832 is an equidigital number, since it uses as much as digits as its factorization.

27864832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1314 counting only the distinct ones).

The product of its digits is 129024, while the sum is 40.

The square root of 27864832 is about 5278.7149951480. The cubic root of 27864832 is about 303.1694782503.

The spelling of 27864832 in words is "twenty-seven million, eight hundred sixty-four thousand, eight hundred thirty-two".