27801792 has 140 divisors (see below), whose sum is σ = 85563456. Its totient is φ = 8916480.

The previous prime is 27801773. The next prime is 27801799. The reversal of 27801792 is 29710872.

It is a super-2 number, since 2×27801792² = 1545879276822528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (27801799) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 160618 + ... + 160790.

Almost surely, 2^27801792 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 27801792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42781728).

27801792 is an abundant number, since it is smaller than the sum of its proper divisors (57761664).

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

27801792 is a wasteful number, since it uses less digits than its factorization.

27801792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 27801792 is about 5272.7404639333. The cubic root of 27801792 is about 302.9406804765.

The spelling of 27801792 in words is "twenty-seven million, eight hundred one thousand, seven hundred ninety-two".