27804672 has 132 divisors (see below), whose sum is σ = 91967616. Its totient is φ = 7925760.

The previous prime is 27804661. The next prime is 27804691. The reversal of 27804672 is 27640872.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 64297 + ... + 64727.

Almost surely, 2^27804672 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 27804672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45983808).

27804672 is an abundant number, since it is smaller than the sum of its proper divisors (64162944).

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

27804672 is a wasteful number, since it uses less digits than its factorization.

27804672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 27804672 is about 5273.0135596260. The cubic root of 27804672 is about 302.9511407020.

The spelling of 27804672 in words is "twenty-seven million, eight hundred four thousand, six hundred seventy-two".