27749952 has 140 divisors (see below), whose sum is σ = 84641436. Its totient is φ = 8985600.

The previous prime is 27749947. The next prime is 27750031. The reversal of 27749952 is 25994772.

It can be written as a sum of positive squares in 2 ways, for example, as 23970816 + 3779136 = 4896^2 + 1944^2 .

It is a junction number, because it is equal to n+sod(n) for n = 27749898 and 27749907.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 274702 + ... + 274802.

Almost surely, 2^27749952 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 27749952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42320718).

27749952 is an abundant number, since it is smaller than the sum of its proper divisors (56891484).

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

27749952 is a wasteful number, since it uses less digits than its factorization.

27749952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 159 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 27749952 is about 5267.8223204660. The cubic root of 27749952 is about 302.7522727655.

The spelling of 27749952 in words is "twenty-seven million, seven hundred forty-nine thousand, nine hundred fifty-two".