27685728 has 144 divisors (see below), whose sum is σ = 93090816. Its totient is φ = 7637760.

The previous prime is 27685703. The next prime is 27685753. The reversal of 27685728 is 82758672.

27685728 is a `hidden beast` number, since 2 + 76 + 8 + 572 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (27685703) and next prime (27685753).

It is a tau number, because it is divible by the number of its divisors (144).

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, 62275 + ... + 62717.

It is an arithmetic number, because the mean of its divisors is an integer number (646464).

Almost surely, 2^27685728 is an apocalyptic number.

27685728 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27685728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46545408).

27685728 is an abundant number, since it is smaller than the sum of its proper divisors (65405088).

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

27685728 is a wasteful number, since it uses less digits than its factorization.

27685728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 486 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 27685728 is about 5261.7229117467. The cubic root of 27685728 is about 302.5185308412.

The spelling of 27685728 in words is "twenty-seven million, six hundred eighty-five thousand, seven hundred twenty-eight".