27981344 has 48 divisors (see below), whose sum is σ = 57851136. Its totient is φ = 13305600.

The previous prime is 27981301. The next prime is 27981353. The reversal of 27981344 is 44318972.

It is a super-2 number, since 2×27981344² = 1565911224092672, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27981298 and 27981307.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66254 + ... + 66674.

It is an arithmetic number, because the mean of its divisors is an integer number (1205232).

Almost surely, 2^27981344 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 27981344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28925568).

27981344 is an abundant number, since it is smaller than the sum of its proper divisors (29869792).

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

27981344 is a wasteful number, since it uses less digits than its factorization.

27981344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 521 counting only the distinct ones).

The product of its digits is 48384, while the sum is 38.

The square root of 27981344 is about 5289.7395020927. The cubic root of 27981344 is about 303.5914410086.

The spelling of 27981344 in words is "twenty-seven million, nine hundred eighty-one thousand, three hundred forty-four".