27994752 has 96 divisors (see below), whose sum is σ = 84864000. Its totient is φ = 8833536.

The previous prime is 27994741. The next prime is 27994789. The reversal of 27994752 is 25749972.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×27994752² = 1567412279083008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27994698 and 27994707.

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, 21249 + ... + 22527.

It is an arithmetic number, because the mean of its divisors is an integer number (884000).

Almost surely, 2^27994752 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 27994752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42432000).

27994752 is an abundant number, since it is smaller than the sum of its proper divisors (56869248).

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

27994752 is a wasteful number, since it uses less digits than its factorization.

27994752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318 (or 1303 counting only the distinct ones).

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

The square root of 27994752 is about 5291.0067095025. The cubic root of 27994752 is about 303.6399245511.

The spelling of 27994752 in words is "twenty-seven million, nine hundred ninety-four thousand, seven hundred fifty-two".