27133728 has 48 divisors (see below), whose sum is σ = 73160640. Its totient is φ = 8798976.

The previous prime is 27133709. The next prime is 27133739. The reversal of 27133728 is 82733172.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×27133728³ (a number of 23 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 268 + ... + 7371.

It is an arithmetic number, because the mean of its divisors is an integer number (1524180).

Almost surely, 2^27133728 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 27133728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36580320).

27133728 is an abundant number, since it is smaller than the sum of its proper divisors (46026912).

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

27133728 is a wasteful number, since it uses less digits than its factorization.

27133728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7689 (or 7681 counting only the distinct ones).

The product of its digits is 14112, while the sum is 33.

The square root of 27133728 is about 5209.0045114206. The cubic root of 27133728 is about 300.4944734279.

It can be divided in two parts, 2713 and 3728, that added together give a triangular number (6441 = T₁₁₃).

The spelling of 27133728 in words is "twenty-seven million, one hundred thirty-three thousand, seven hundred twenty-eight".