27792492 has 96 divisors (see below), whose sum is σ = 82489344. Its totient is φ = 7084800.

The previous prime is 27792451. The next prime is 27792503. The reversal of 27792492 is 29429772.

It is a super-3 number, since 3×27792492³ (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33442 + ... + 34262.

It is an arithmetic number, because the mean of its divisors is an integer number (859264).

Almost surely, 2^27792492 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 27792492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41244672).

27792492 is an abundant number, since it is smaller than the sum of its proper divisors (54696852).

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

27792492 is a wasteful number, since it uses less digits than its factorization.

27792492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 877 counting only the distinct ones).

The product of its digits is 127008, while the sum is 42.

The square root of 27792492 is about 5271.8584958248. The cubic root of 27792492 is about 302.9068977318.

The spelling of 27792492 in words is "twenty-seven million, seven hundred ninety-two thousand, four hundred ninety-two".