27874728 has 72 divisors (see below), whose sum is σ = 87830730. Its totient is φ = 7963200.

The previous prime is 27874709. The next prime is 27874733. The reversal of 27874728 is 82747872.

It can be written as a sum of positive squares in only one way, i.e., 21734244 + 6140484 = 4662^2 + 2478^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×27874728² = 1554000922147968, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 423 + ... + 7478.

Almost surely, 2^27874728 is an apocalyptic number.

27874728 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 27874728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43915365).

27874728 is an abundant number, since it is smaller than the sum of its proper divisors (59956002).

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

27874728 is a wasteful number, since it uses less digits than its factorization.

27874728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7927 (or 7913 counting only the distinct ones).

The product of its digits is 351232, while the sum is 45.

The square root of 27874728 is about 5279.6522612763. The cubic root of 27874728 is about 303.2053635084.

The spelling of 27874728 in words is "twenty-seven million, eight hundred seventy-four thousand, seven hundred twenty-eight".