382562526528 has 896 divisors, whose sum is σ = 1452896256000. Its totient is φ = 96011329536.

The previous prime is 382562526517. The next prime is 382562526547. The reversal of 382562526528 is 825625265283.

382562526528 is a `hidden beast` number, since 3 + 8 + 2 + 5 + 62 + 52 + 6 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 273453573 + ... + 273454971.

It is an arithmetic number, because the mean of its divisors is an integer number (1621536000).

Almost surely, 2^382562526528 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 382562526528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726448128000).

382562526528 is an abundant number, since it is smaller than the sum of its proper divisors (1070333729472).

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

382562526528 is a wasteful number, since it uses less digits than its factorization.

382562526528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524 (or 1508 counting only the distinct ones).

The product of its digits is 13824000, while the sum is 54.

The spelling of 382562526528 in words is "three hundred eighty-two billion, five hundred sixty-two million, five hundred twenty-six thousand, five hundred twenty-eight".