5705828352 has 192 divisors, whose sum is σ = 19317916800. Its totient is φ = 1630126080.

The previous prime is 5705828347. The next prime is 5705828363. The reversal of 5705828352 is 2538285075.

5705828352 is a `hidden beast` number, since 570 + 5 + 8 + 28 + 3 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 5705828298 and 5705828307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 379702 + ... + 394442.

It is an arithmetic number, because the mean of its divisors is an integer number (100614150).

Almost surely, 2^5705828352 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 5705828352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9658958400).

5705828352 is an abundant number, since it is smaller than the sum of its proper divisors (13612088448).

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

5705828352 is a wasteful number, since it uses less digits than its factorization.

5705828352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14779 (or 14753 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The square root of 5705828352 is about 75536.9336947165. The cubic root of 5705828352 is about 1786.9246269947.

The spelling of 5705828352 in words is "five billion, seven hundred five million, eight hundred twenty-eight thousand, three hundred fifty-two".