27657728 has 40 divisors (see below), whose sum is σ = 63164112. Its totient is φ = 11851776.

The previous prime is 27657727. The next prime is 27657733. The reversal of 27657728 is 82775672.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27657727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 275 + ... + 7442.

Almost surely, 2^27657728 is an apocalyptic number.

27657728 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 27657728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31582056).

27657728 is an abundant number, since it is smaller than the sum of its proper divisors (35506384).

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

27657728 is an frugal number, since it uses more digits than its factorization.

27657728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7742 (or 7726 counting only the distinct ones).

The product of its digits is 329280, while the sum is 44.

The square root of 27657728 is about 5259.0615132360. The cubic root of 27657728 is about 302.4165122605.

The spelling of 27657728 in words is "twenty-seven million, six hundred fifty-seven thousand, seven hundred twenty-eight".