5728905715200 has 480 divisors, whose sum is σ = 19519052129280. Its totient is φ = 1480111718400.

The previous prime is 5728905715199. The next prime is 5728905715201. The reversal of 5728905715200 is 25175098275.

It is an interprime number because it is at equal distance from previous prime (5728905715199) and next prime (5728905715201).

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×5728905715200² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5728905715201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 339562765 + ... + 339579635.

It is an arithmetic number, because the mean of its divisors is an integer number (40664691936).

Almost surely, 2^{5728905715200} is an apocalyptic number.

5728905715200 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 5728905715200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9759526064640).

5728905715200 is an abundant number, since it is smaller than the sum of its proper divisors (13790146414080).

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

5728905715200 is a wasteful number, since it uses less digits than its factorization.

5728905715200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17178 (or 17157 counting only the distinct ones).

The product of its (nonzero) digits is 1764000, while the sum is 51.

The spelling of 5728905715200 in words is "five trillion, seven hundred twenty-eight billion, nine hundred five million, seven hundred fifteen thousand, two hundred".