382753728 has 112 divisors (see below), whose sum is σ = 1286012160. Its totient is φ = 109354752.

The previous prime is 382753717. The next prime is 382753729. The reversal of 382753728 is 827357283.

382753728 is a `hidden beast` number, since 3 + 8 + 275 + 372 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382753729) 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 15 ways as a sum of consecutive naturals, for example, 3726 + ... + 27917.

Almost surely, 2^382753728 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 382753728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643006080).

382753728 is an abundant number, since it is smaller than the sum of its proper divisors (903258432).

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

382753728 is a wasteful number, since it uses less digits than its factorization.

382753728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31671 (or 31655 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 382753728 is about 19564.0928233333. The cubic root of 382753728 is about 726.0610562680.

The spelling of 382753728 in words is "three hundred eighty-two million, seven hundred fifty-three thousand, seven hundred twenty-eight".