27738752 has 32 divisors (see below), whose sum is σ = 56764020. Its totient is φ = 13492224.

The previous prime is 27738749. The next prime is 27738757. The reversal of 27738752 is 25783772.

It can be written as a sum of positive squares in 2 ways, for example, as 21307456 + 6431296 = 4616^2 + 2536^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (27738757) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1808 + ... + 7664.

Almost surely, 2^27738752 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 27738752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28382010).

27738752 is an abundant number, since it is smaller than the sum of its proper divisors (29025268).

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

27738752 is an equidigital number, since it uses as much as digits as its factorization.

27738752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5908 (or 5896 counting only the distinct ones).

The product of its digits is 164640, while the sum is 41.

The square root of 27738752 is about 5266.7591553060. The cubic root of 27738752 is about 302.7115365780.

The spelling of 27738752 in words is "twenty-seven million, seven hundred thirty-eight thousand, seven hundred fifty-two".