27842976 has 108 divisors (see below), whose sum is σ = 92152242. Its totient is φ = 7951104.

The previous prime is 27842953. The next prime is 27843043. The reversal of 27842976 is 67924872.

It can be written as a sum of positive squares in only one way, i.e., 26255376 + 1587600 = 5124^2 + 1260^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 13126 + ... + 15098.

Almost surely, 2^27842976 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 27842976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46076121).

27842976 is an abundant number, since it is smaller than the sum of its proper divisors (64309266).

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

27842976 is a wasteful number, since it uses less digits than its factorization.

27842976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2003 (or 1985 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 27842976 is about 5276.6443882452. The cubic root of 27842976 is about 303.0901930629.

The spelling of 27842976 in words is "twenty-seven million, eight hundred forty-two thousand, nine hundred seventy-six".