27945792 has 168 divisors, whose sum is σ = 95097600. Its totient is φ = 7676928.

The previous prime is 27945779. The next prime is 27945793. The reversal of 27945792 is 29754972.

27945792 is a `hidden beast` number, since 2 + 79 + 4 + 579 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

Its product of digits (317520) is a multiple of the sum of its prime divisors (280).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27945793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116809 + ... + 117047.

Almost surely, 2^27945792 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 27945792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47548800).

27945792 is an abundant number, since it is smaller than the sum of its proper divisors (67151808).

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

27945792 is a wasteful number, since it uses less digits than its factorization.

27945792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 280 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 27945792 is about 5286.3779660558. The cubic root of 27945792 is about 303.4628093828.

The spelling of 27945792 in words is "twenty-seven million, nine hundred forty-five thousand, seven hundred ninety-two".