27983952 has 60 divisors (see below), whose sum is σ = 78676884. Its totient is φ = 9285120.

The previous prime is 27983909. The next prime is 27983981. The reversal of 27983952 is 25938972.

It can be written as a sum of positive squares in 2 ways, for example, as 11532816 + 16451136 = 3396^2 + 4056^2 .

It is a junction number, because it is equal to n+sod(n) for n = 27983898 and 27983907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53452 + ... + 53972.

Almost surely, 2^27983952 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 27983952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39338442).

27983952 is an abundant number, since it is smaller than the sum of its proper divisors (50692932).

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

27983952 is a wasteful number, since it uses less digits than its factorization.

27983952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 899 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 27983952 is about 5289.9860113237. The cubic root of 27983952 is about 303.6008727914.

The spelling of 27983952 in words is "twenty-seven million, nine hundred eighty-three thousand, nine hundred fifty-two".