382350528 has 504 divisors, whose sum is σ = 1445483520. Its totient is φ = 95800320.

The previous prime is 382350511. The next prime is 382350557. The reversal of 382350528 is 825053283.

382350528 is a `hidden beast` number, since 3 + 82 + 3 + 50 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 382350492 and 382350501.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12333873 + ... + 12333903.

Almost surely, 2^382350528 is an apocalyptic number.

382350528 is a gapful number since it is divisible by the number (38) 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 382350528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722741760).

382350528 is an abundant number, since it is smaller than the sum of its proper divisors (1063132992).

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

382350528 is a wasteful number, since it uses less digits than its factorization.

382350528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 382350528 is about 19553.7855158534. The cubic root of 382350528 is about 725.8060178869.

The spelling of 382350528 in words is "three hundred eighty-two million, three hundred fifty thousand, five hundred twenty-eight".