27942824 has 64 divisors (see below), whose sum is σ = 65197440. Its totient is φ = 10932480.

The previous prime is 27942823. The next prime is 27942829. The reversal of 27942824 is 42824972.

It is not an unprimeable number, because it can be changed into a prime (27942821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95222 + ... + 95514.

It is an arithmetic number, because the mean of its divisors is an integer number (1018710).

Almost surely, 2^27942824 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 27942824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32598720).

27942824 is an abundant number, since it is smaller than the sum of its proper divisors (37254616).

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

27942824 is a wasteful number, since it uses less digits than its factorization.

27942824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 446 counting only the distinct ones).

The product of its digits is 64512, while the sum is 38.

The square root of 27942824 is about 5286.0972370928. The cubic root of 27942824 is about 303.4520658511.

The spelling of 27942824 in words is "twenty-seven million, nine hundred forty-two thousand, eight hundred twenty-four".