27778842 has 64 divisors (see below), whose sum is σ = 75989760. Its totient is φ = 7324992.

The previous prime is 27778841. The next prime is 27778847. The reversal of 27778842 is 24887772.

It is not an unprimeable number, because it can be changed into a prime (27778841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2088 + ... + 7740.

It is an arithmetic number, because the mean of its divisors is an integer number (1187340).

Almost surely, 2^27778842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27778842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37994880).

27778842 is an abundant number, since it is smaller than the sum of its proper divisors (48210918).

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

27778842 is a wasteful number, since it uses less digits than its factorization.

27778842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5684 (or 5678 counting only the distinct ones).

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

The square root of 27778842 is about 5270.5637269651. The cubic root of 27778842 is about 302.8572997295.

The spelling of 27778842 in words is "twenty-seven million, seven hundred seventy-eight thousand, eight hundred forty-two".