5824728000 has 1008 divisors, whose sum is σ = 26307800064. Its totient is φ = 1219276800.

The previous prime is 5824727963. The next prime is 5824728029. The reversal of 5824728000 is 8274285.

It is a happy number.

5824728000 is a `hidden beast` number, since 582 + 4 + 72 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 45863937 + ... + 45864063.

It is an arithmetic number, because the mean of its divisors is an integer number (26099008).

Almost surely, 2^5824728000 is an apocalyptic number.

5824728000 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 5824728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13153900032).

5824728000 is an abundant number, since it is smaller than the sum of its proper divisors (20483072064).

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

5824728000 is a wasteful number, since it uses less digits than its factorization.

5824728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 5824728000 is about 76319.9056603191. The cubic root of 5824728000 is about 1799.2515406776.

The spelling of 5824728000 in words is "five billion, eight hundred twenty-four million, seven hundred twenty-eight thousand".