27707768 has 32 divisors (see below), whose sum is σ = 57024000. Its totient is φ = 12516960.

The previous prime is 27707767. The next prime is 27707809. The reversal of 27707768 is 86770772.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27707767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14873 + ... + 16631.

It is an arithmetic number, because the mean of its divisors is an integer number (1782000).

Almost surely, 2^27707768 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 27707768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28512000).

27707768 is an abundant number, since it is smaller than the sum of its proper divisors (29316232).

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

27707768 is a wasteful number, since it uses less digits than its factorization.

27707768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1955 (or 1951 counting only the distinct ones).

The product of its (nonzero) digits is 230496, while the sum is 44.

The square root of 27707768 is about 5263.8168661153. The cubic root of 27707768 is about 302.5987856680.

The spelling of 27707768 in words is "twenty-seven million, seven hundred seven thousand, seven hundred sixty-eight".