382845528 has 96 divisors (see below), whose sum is σ = 1158066000. Its totient is φ = 117790848.

The previous prime is 382845521. The next prime is 382845539. The reversal of 382845528 is 825548283.

382845528 is a `hidden beast` number, since 3 + 82 + 8 + 45 + 528 = 666.

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 (382845521) 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 23 ways as a sum of consecutive naturals, for example, 17698 + ... + 32846.

Almost surely, 2^382845528 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 382845528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579033000).

382845528 is an abundant number, since it is smaller than the sum of its proper divisors (775220472).

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

382845528 is a wasteful number, since it uses less digits than its factorization.

382845528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15183 (or 15167 counting only the distinct ones).

The product of its digits is 614400, while the sum is 45.

The square root of 382845528 is about 19566.4388175263. The cubic root of 382845528 is about 726.1190980079.

The spelling of 382845528 in words is "three hundred eighty-two million, eight hundred forty-five thousand, five hundred twenty-eight".