5797128960 has 576 divisors, whose sum is σ = 24300380160. Its totient is φ = 1280655360.

The previous prime is 5797128947. The next prime is 5797128973. The reversal of 5797128960 is 698217975.

5797128960 is a `hidden beast` number, since 579 + 7 + 1 + 2 + 8 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (5797128947) and next prime (5797128973).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 5797128897 and 5797128906.

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, 7499134 + ... + 7499906.

It is an arithmetic number, because the mean of its divisors is an integer number (42188160).

Almost surely, 2^5797128960 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 5797128960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12150190080).

5797128960 is an abundant number, since it is smaller than the sum of its proper divisors (18503251200).

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

5797128960 is a wasteful number, since it uses less digits than its factorization.

5797128960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The square root of 5797128960 is about 76138.8794243782. The cubic root of 5797128960 is about 1796.4052702891.

The spelling of 5797128960 in words is "five billion, seven hundred ninety-seven million, one hundred twenty-eight thousand, nine hundred sixty".