27933152 has 48 divisors (see below), whose sum is σ = 60011280. Its totient is φ = 12721152.

The previous prime is 27933151. The next prime is 27933161. The reversal of 27933152 is 25133972.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27933151) 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, 34124 + ... + 34932.

It is an arithmetic number, because the mean of its divisors is an integer number (1250235).

Almost surely, 2^27933152 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 27933152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30005640).

27933152 is an abundant number, since it is smaller than the sum of its proper divisors (32078128).

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

27933152 is a wasteful number, since it uses less digits than its factorization.

27933152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 907 counting only the distinct ones).

The product of its digits is 11340, while the sum is 32.

The square root of 27933152 is about 5285.1823052758. The cubic root of 27933152 is about 303.4170499787.

The spelling of 27933152 in words is "twenty-seven million, nine hundred thirty-three thousand, one hundred fifty-two".