27980844 has 48 divisors (see below), whose sum is σ = 72777600. Its totient is φ = 8315136.

The previous prime is 27980837. The next prime is 27980987. The reversal of 27980844 is 44808972.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 27980796 and 27980805.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 267 + ... + 7485.

It is an arithmetic number, because the mean of its divisors is an integer number (1516200).

Almost surely, 2^27980844 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 27980844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36388800).

27980844 is an abundant number, since it is smaller than the sum of its proper divisors (44796756).

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

27980844 is a wasteful number, since it uses less digits than its factorization.

27980844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7262 (or 7260 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 27980844 is about 5289.6922405751. The cubic root of 27980844 is about 303.5896327011.

The spelling of 27980844 in words is "twenty-seven million, nine hundred eighty thousand, eight hundred forty-four".