382749197257728 has 1056 divisors, whose sum is σ = 1359934334553600. Its totient is φ = 101253321326592.

The previous prime is 382749197257639. The next prime is 382749197257751. The reversal of 382749197257728 is 827752791947283.

382749197257728 is a `hidden beast` number, since 3 + 8 + 2 + 7 + 4 + 9 + 19 + 7 + 2 + 577 + 28 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12510990400 + ... + 12511020992.

Almost surely, 2^{382749197257728} is an apocalyptic number.

382749197257728 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 382749197257728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679967167276800).

382749197257728 is an abundant number, since it is smaller than the sum of its proper divisors (977185137295872).

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

382749197257728 is a wasteful number, since it uses less digits than its factorization.

382749197257728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30877 (or 30856 counting only the distinct ones).

The product of its digits is 5974456320, while the sum is 81.

The spelling of 382749197257728 in words is "three hundred eighty-two trillion, seven hundred forty-nine billion, one hundred ninety-seven million, two hundred fifty-seven thousand, seven hundred twenty-eight".