27382768 has 60 divisors (see below), whose sum is σ = 62975880. Its totient is φ = 11496576.

The previous prime is 27382763. The next prime is 27382769. The reversal of 27382768 is 86728372.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27382763) 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 11 ways as a sum of consecutive naturals, for example, 41223 + ... + 41881.

It is an arithmetic number, because the mean of its divisors is an integer number (1049598).

Almost surely, 2^27382768 is an apocalyptic number.

27382768 is a gapful number since it is divisible by the number (28) 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 27382768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31487940).

27382768 is an abundant number, since it is smaller than the sum of its proper divisors (35593112).

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

27382768 is a wasteful number, since it uses less digits than its factorization.

27382768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 721 counting only the distinct ones).

The product of its digits is 225792, while the sum is 43.

The square root of 27382768 is about 5232.8546702541. The cubic root of 27382768 is about 301.4110123352.

The spelling of 27382768 in words is "twenty-seven million, three hundred eighty-two thousand, seven hundred sixty-eight".