27730944 has 176 divisors, whose sum is σ = 88430400. Its totient is φ = 8552448.

The previous prime is 27730943. The next prime is 27730949. The reversal of 27730944 is 44903772.

It is a super-2 number, since 2×27730944² = 1538010510262272, which contains 22 as substring.

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 = 27730899 and 27730908.

It is not an unprimeable number, because it can be changed into a prime (27730943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 469987 + ... + 470045.

Almost surely, 2^27730944 is an apocalyptic number.

27730944 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 27730944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44215200).

27730944 is an abundant number, since it is smaller than the sum of its proper divisors (60699456).

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

27730944 is a wasteful number, since it uses less digits than its factorization.

27730944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 27730944 is about 5266.0178503306. The cubic root of 27730944 is about 302.6831311487.

The spelling of 27730944 in words is "twenty-seven million, seven hundred thirty thousand, nine hundred forty-four".