27771768 has 128 divisors (see below), whose sum is σ = 83232000. Its totient is φ = 8553600.

The previous prime is 27771707. The next prime is 27771773. The reversal of 27771768 is 86717772.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 274918 + ... + 275018.

It is an arithmetic number, because the mean of its divisors is an integer number (650250).

Almost surely, 2^27771768 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 27771768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41616000).

27771768 is an abundant number, since it is smaller than the sum of its proper divisors (55460232).

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

27771768 is a wasteful number, since it uses less digits than its factorization.

27771768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 192 counting only the distinct ones).

The product of its digits is 230496, while the sum is 45.

The square root of 27771768 is about 5269.8925985261. The cubic root of 27771768 is about 302.8315895815.

The spelling of 27771768 in words is "twenty-seven million, seven hundred seventy-one thousand, seven hundred sixty-eight".