27880944 has 120 divisors (see below), whose sum is σ = 89315712. Its totient is φ = 7338240.

The previous prime is 27880939. The next prime is 27881027. The reversal of 27880944 is 44908872.

It is a super-2 number, since 2×27880944² = 1554694076662272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 27880896 and 27880905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56539 + ... + 57029.

Almost surely, 2^27880944 is an apocalyptic number.

27880944 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 27880944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44657856).

27880944 is an abundant number, since it is smaller than the sum of its proper divisors (61434768).

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

27880944 is a wasteful number, since it uses less digits than its factorization.

27880944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 516 counting only the distinct ones).

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

The square root of 27880944 is about 5280.2409035952. The cubic root of 27880944 is about 303.2278998653.

The spelling of 27880944 in words is "twenty-seven million, eight hundred eighty thousand, nine hundred forty-four".