27713628 has 72 divisors (see below), whose sum is σ = 76177920. Its totient is φ = 8462880.

The previous prime is 27713611. The next prime is 27713633. The reversal of 27713628 is 82631772.

27713628 is a `hidden beast` number, since 27 + 7 + 1 + 3 + 628 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 27713592 and 27713601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20551 + ... + 21857.

Almost surely, 2^27713628 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 27713628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38088960).

27713628 is an abundant number, since it is smaller than the sum of its proper divisors (48464292).

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

27713628 is a wasteful number, since it uses less digits than its factorization.

27713628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1367 (or 1362 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 27713628 is about 5264.3734669949. The cubic root of 27713628 is about 302.6201166763.

The spelling of 27713628 in words is "twenty-seven million, seven hundred thirteen thousand, six hundred twenty-eight".