5684328000 has 336 divisors, whose sum is σ = 21901532016. Its totient is φ = 1398988800.

The previous prime is 5684327993. The next prime is 5684328017. The reversal of 5684328000 is 8234865.

It can be written as a sum of positive squares in 8 ways, for example, as 1617970176 + 4066357824 = 40224^2 + 63768^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 932964 + ... + 939036.

It is an arithmetic number, because the mean of its divisors is an integer number (65183131).

Almost surely, 2^5684328000 is an apocalyptic number.

5684328000 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 5684328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10950766008).

5684328000 is an abundant number, since it is smaller than the sum of its proper divisors (16217204016).

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

5684328000 is a wasteful number, since it uses less digits than its factorization.

5684328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6119 (or 6096 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 5684328000 is about 75394.4825567495. The cubic root of 5684328000 is about 1784.6773420515.

The spelling of 5684328000 in words is "five billion, six hundred eighty-four million, three hundred twenty-eight thousand".