382713121728 has 448 divisors, whose sum is σ = 1325026560000. Its totient is φ = 108267715584.

The previous prime is 382713121691. The next prime is 382713121811. The reversal of 382713121728 is 827121317283.

382713121728 is a `hidden beast` number, since 38 + 271 + 312 + 17 + 28 = 666.

382713121728 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61045378 + ... + 61051646.

Almost surely, 2^382713121728 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 382713121728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662513280000).

382713121728 is an abundant number, since it is smaller than the sum of its proper divisors (942313438272).

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

382713121728 is a wasteful number, since it uses less digits than its factorization.

382713121728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6414 (or 6384 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The spelling of 382713121728 in words is "three hundred eighty-two billion, seven hundred thirteen million, one hundred twenty-one thousand, seven hundred twenty-eight".