27768384 has 168 divisors, whose sum is σ = 93195648. Its totient is φ = 7741440.

The previous prime is 27768379. The next prime is 27768401. The reversal of 27768384 is 48386772.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286224 + ... + 286320.

It is an arithmetic number, because the mean of its divisors is an integer number (554736).

Almost surely, 2^27768384 is an apocalyptic number.

27768384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27768384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46597824).

27768384 is an abundant number, since it is smaller than the sum of its proper divisors (65427264).

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

27768384 is a wasteful number, since it uses less digits than its factorization.

27768384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 180 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 27768384 is about 5269.5715195830. The cubic root of 27768384 is about 302.8192890355.

The spelling of 27768384 in words is "twenty-seven million, seven hundred sixty-eight thousand, three hundred eighty-four".