5785961328 has 320 divisors, whose sum is σ = 20298700800. Its totient is φ = 1541928960.

The previous prime is 5785961317. The next prime is 5785961329. The reversal of 5785961328 is 8231695875.

5785961328 is a `hidden beast` number, since 578 + 5 + 9 + 61 + 3 + 2 + 8 = 666.

It is a super-2 number, since 2×5785961328² = 66954696978223047168, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5785961329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2850618 + ... + 2852646.

It is an arithmetic number, because the mean of its divisors is an integer number (63433440).

Almost surely, 2^5785961328 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 5785961328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10149350400).

5785961328 is an abundant number, since it is smaller than the sum of its proper divisors (14512739472).

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

5785961328 is a wasteful number, since it uses less digits than its factorization.

5785961328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117 (or 2105 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The square root of 5785961328 is about 76065.5068214233. The cubic root of 5785961328 is about 1795.2509926463.

The spelling of 5785961328 in words is "five billion, seven hundred eighty-five million, nine hundred sixty-one thousand, three hundred twenty-eight".