381792528 has 400 divisors, whose sum is σ = 1330914816. Its totient is φ = 104509440.

The previous prime is 381792493. The next prime is 381792539. The reversal of 381792528 is 825297183.

It is a happy number.

381792528 is a `hidden beast` number, since 38 + 1 + 7 + 92 + 528 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8878875 + ... + 8878917.

Almost surely, 2^381792528 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 381792528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665457408).

381792528 is an abundant number, since it is smaller than the sum of its proper divisors (949122288).

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

381792528 is a wasteful number, since it uses less digits than its factorization.

381792528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 109 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 381792528 is about 19539.5119693405. The cubic root of 381792528 is about 725.4527670466.

The spelling of 381792528 in words is "three hundred eighty-one million, seven hundred ninety-two thousand, five hundred twenty-eight".