382727268 has 360 divisors, whose sum is σ = 1348966080. Its totient is φ = 91808640.

The previous prime is 382727243. The next prime is 382727269. The reversal of 382727268 is 862727283.

382727268 is a `hidden beast` number, since 382 + 7 + 2 + 7 + 268 = 666.

It is not an unprimeable number, because it can be changed into a prime (382727269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13197478 + ... + 13197506.

It is an arithmetic number, because the mean of its divisors is an integer number (3747128).

Almost surely, 2^382727268 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 382727268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674483040).

382727268 is an abundant number, since it is smaller than the sum of its proper divisors (966238812).

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

382727268 is a wasteful number, since it uses less digits than its factorization.

382727268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 75 counting only the distinct ones).

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

The square root of 382727268 is about 19563.4165727769. The cubic root of 382727268 is about 726.0443248670.

The spelling of 382727268 in words is "three hundred eighty-two million, seven hundred twenty-seven thousand, two hundred sixty-eight".