5928960800 has 576 divisors, whose sum is σ = 18898790400. Its totient is φ = 1806336000.

The previous prime is 5928960797. The next prime is 5928960901. The reversal of 5928960800 is 80698295.

It is a super-4 number, since 4×5928960800⁴ (a number of 40 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 144608780 + ... + 144608820.

It is an arithmetic number, because the mean of its divisors is an integer number (32810400).

Almost surely, 2^5928960800 is an apocalyptic number.

5928960800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5928960800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9449395200).

5928960800 is an abundant number, since it is smaller than the sum of its proper divisors (12969829600).

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

5928960800 is a wasteful number, since it uses less digits than its factorization.

5928960800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 47.

The square root of 5928960800 is about 76999.7454541247. The cubic root of 5928960800 is about 1809.9206135119.

The spelling of 5928960800 in words is "five billion, nine hundred twenty-eight million, nine hundred sixty thousand, eight hundred".