5328408960 has 1024 divisors, whose sum is σ = 23500800000. Its totient is φ = 1137991680.

The previous prime is 5328408949. The next prime is 5328408977. The reversal of 5328408960 is 698048235.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 171884145 + ... + 171884175.

It is an arithmetic number, because the mean of its divisors is an integer number (22950000).

Almost surely, 2^5328408960 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 5328408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11750400000).

5328408960 is an abundant number, since it is smaller than the sum of its proper divisors (18172391040).

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

5328408960 is a wasteful number, since it uses less digits than its factorization.

5328408960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 5328408960 is about 72995.9516685686. The cubic root of 5328408960 is about 1746.6230343457.

The spelling of 5328408960 in words is "five billion, three hundred twenty-eight million, four hundred eight thousand, nine hundred sixty".