382801705128 has 24 divisors (see below), whose sum is σ = 1036754618250. Its totient is φ = 127600568352.

The previous prime is 382801705079. The next prime is 382801705133. The reversal of 382801705128 is 821507108283.

382801705128 is a `hidden beast` number, since 382 + 80 + 1 + 70 + 5 + 128 = 666.

It can be written as a sum of positive squares in only one way, i.e., 229496567364 + 153305137764 = 479058^2 + 391542^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×382801705128² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2658345103 + ... + 2658345246.

Almost surely, 2^382801705128 is an apocalyptic number.

It is an amenable number.

382801705128 is an abundant number, since it is smaller than the sum of its proper divisors (653952913122).

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

382801705128 is a wasteful number, since it uses less digits than its factorization.

382801705128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5316690361 (or 5316690354 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 382801705128 in words is "three hundred eighty-two billion, eight hundred one million, seven hundred five thousand, one hundred twenty-eight".