27442944 has 108 divisors (see below), whose sum is σ = 81257176. Its totient is φ = 8902656.

The previous prime is 27442939. The next prime is 27442957. The reversal of 27442944 is 44924472.

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

It is a junction number, because it is equal to n+sod(n) for n = 27442899 and 27442908.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 98934 + ... + 99210.

Almost surely, 2^27442944 is an apocalyptic number.

27442944 is a gapful number since it is divisible by the number (24) 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 27442944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40628588).

27442944 is an abundant number, since it is smaller than the sum of its proper divisors (53814232).

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

27442944 is a wasteful number, since it uses less digits than its factorization.

27442944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 325 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 27442944 is about 5238.6013400525. The cubic root of 27442944 is about 301.6316430482.

The spelling of 27442944 in words is "twenty-seven million, four hundred forty-two thousand, nine hundred forty-four".