27894132 has 120 divisors (see below), whose sum is σ = 85377600. Its totient is φ = 7938000.

The previous prime is 27894131. The next prime is 27894133. The reversal of 27894132 is 23149872.

It is an interprime number because it is at equal distance from previous prime (27894131) and next prime (27894133).

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

Its product of digits (24192) is a multiple of the sum of its prime factors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27894131) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 111007 + ... + 111257.

It is an arithmetic number, because the mean of its divisors is an integer number (711480).

Almost surely, 2^27894132 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 27894132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42688800).

27894132 is an abundant number, since it is smaller than the sum of its proper divisors (57483468).

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

27894132 is a wasteful number, since it uses less digits than its factorization.

27894132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 263 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 27894132 is about 5281.4895626139. The cubic root of 27894132 is about 303.2757023978.

The spelling of 27894132 in words is "twenty-seven million, eight hundred ninety-four thousand, one hundred thirty-two".