5765928960 has 384 divisors, whose sum is σ = 20435950080. Its totient is φ = 1376256000.

The previous prime is 5765928923. The next prime is 5765928967. The reversal of 5765928960 is 698295675.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 5765928960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5765928967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38184885 + ... + 38185035.

It is an arithmetic number, because the mean of its divisors is an integer number (53218620).

Almost surely, 2^5765928960 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 5765928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10217975040).

5765928960 is an abundant number, since it is smaller than the sum of its proper divisors (14670021120).

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

5765928960 is a wasteful number, since it uses less digits than its factorization.

5765928960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 57.

The square root of 5765928960 is about 75933.7142513126. The cubic root of 5765928960 is about 1793.1767356185.

The spelling of 5765928960 in words is "five billion, seven hundred sixty-five million, nine hundred twenty-eight thousand, nine hundred sixty".