27768385 has 8 divisors (see below), whose sum is σ = 33546600. Its totient is φ = 22065024.

The previous prime is 27768379. The next prime is 27768401. The reversal of 27768385 is 58386772.

It can be written as a sum of positive squares in 4 ways, for example, as 1635841 + 26132544 = 1279^2 + 5112^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 27768385 - 2⁵ = 27768353 is a prime.

It is an unprimeable number.

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, 17892 + ... + 19381.

It is an arithmetic number, because the mean of its divisors is an integer number (4193325).

Almost surely, 2^27768385 is an apocalyptic number.

It is an amenable number.

27768385 is a deficient number, since it is larger than the sum of its proper divisors (5778215).

27768385 is a wasteful number, since it uses less digits than its factorization.

27768385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37427.

The product of its digits is 564480, while the sum is 46.

The square root of 27768385 is about 5269.5716144673. The cubic root of 27768385 is about 302.8192926706.

The spelling of 27768385 in words is "twenty-seven million, seven hundred sixty-eight thousand, three hundred eighty-five".