27992000 has 56 divisors (see below), whose sum is σ = 69342000. Its totient is φ = 11193600.

The previous prime is 27991993. The next prime is 27992009. The reversal of 27992000 is 29972.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27992009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6251 + ... + 9749.

It is an arithmetic number, because the mean of its divisors is an integer number (1238250).

Almost surely, 2^27992000 is an apocalyptic number.

27992000 is a gapful number since it is divisible by the number (20) 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 27992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34671000).

27992000 is an abundant number, since it is smaller than the sum of its proper divisors (41350000).

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

27992000 is an equidigital number, since it uses as much as digits as its factorization.

27992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3526 (or 3506 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 27992000 is about 5290.7466391805. The cubic root of 27992000 is about 303.6299745379.

The spelling of 27992000 in words is "twenty-seven million, nine hundred ninety-two thousand".