5728124928000 has 288 divisors, whose sum is σ = 19063290617280. Its totient is φ = 1527486873600.

The previous prime is 5728124927981. The next prime is 5728124928067. The reversal of 5728124928000 is 8294218275.

It is a super-2 number, since 2×5728124928000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49093731 + ... + 49210269.

It is an arithmetic number, because the mean of its divisors is an integer number (66191981310).

Almost surely, 2^{5728124928000} is an apocalyptic number.

5728124928000 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 5728124928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9531645308640).

5728124928000 is an abundant number, since it is smaller than the sum of its proper divisors (13335165689280).

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

5728124928000 is an frugal number, since it uses more digits than its factorization.

5728124928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116591 (or 116549 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 5728124928000 in words is "five trillion, seven hundred twenty-eight billion, one hundred twenty-four million, nine hundred twenty-eight thousand".