27838992 has 80 divisors (see below), whose sum is σ = 75852288. Its totient is φ = 8785920.

The previous prime is 27838981. The next prime is 27839027. The reversal of 27838992 is 29983872.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (435456) is a multiple of the sum of its prime factors (448).

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, 78688 + ... + 79040.

Almost surely, 2^27838992 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 27838992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37926144).

27838992 is an abundant number, since it is smaller than the sum of its proper divisors (48013296).

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

27838992 is a wasteful number, since it uses less digits than its factorization.

27838992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 442 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The square root of 27838992 is about 5276.2668620910. The cubic root of 27838992 is about 303.0757361681.

The spelling of 27838992 in words is "twenty-seven million, eight hundred thirty-eight thousand, nine hundred ninety-two".