27964832 has 48 divisors (see below), whose sum is σ = 63467712. Its totient is φ = 11880960.

The previous prime is 27964823. The next prime is 27964837. The reversal of 27964832 is 23846972.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 27964832.

It is not an unprimeable number, because it can be changed into a prime (27964837) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28868 + ... + 29820.

It is an arithmetic number, because the mean of its divisors is an integer number (1322244).

Almost surely, 2^27964832 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 27964832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31733856).

27964832 is an abundant number, since it is smaller than the sum of its proper divisors (35502880).

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

27964832 is a wasteful number, since it uses less digits than its factorization.

27964832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101 (or 1093 counting only the distinct ones).

The product of its digits is 145152, while the sum is 41.

The square root of 27964832 is about 5288.1785143847. The cubic root of 27964832 is about 303.5317120662.

The spelling of 27964832 in words is "twenty-seven million, nine hundred sixty-four thousand, eight hundred thirty-two".