27192928 has 96 divisors (see below), whose sum is σ = 66878784. Its totient is φ = 10616832.

The previous prime is 27192901. The next prime is 27192961. The reversal of 27192928 is 82929172.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140800 + ... + 140992.

It is an arithmetic number, because the mean of its divisors is an integer number (696654).

Almost surely, 2^27192928 is an apocalyptic number.

27192928 is a gapful number since it is divisible by the number (28) 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 27192928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33439392).

27192928 is an abundant number, since it is smaller than the sum of its proper divisors (39685856).

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

27192928 is a wasteful number, since it uses less digits than its factorization.

27192928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 256 counting only the distinct ones).

The product of its digits is 36288, while the sum is 40.

The square root of 27192928 is about 5214.6838830364. The cubic root of 27192928 is about 300.7128529421.

The spelling of 27192928 in words is "twenty-seven million, one hundred ninety-two thousand, nine hundred twenty-eight".