5728968347760 has 640 divisors, whose sum is σ = 22980672000000. Its totient is φ = 1284830097408.

The previous prime is 5728968347741. The next prime is 5728968347761. The reversal of 5728968347760 is 677438698275.

5728968347760 is a `hidden beast` number, since 5 + 7 + 2 + 8 + 96 + 8 + 3 + 477 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5728968347761) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 169735366 + ... + 169769114.

It is an arithmetic number, because the mean of its divisors is an integer number (35907300000).

Almost surely, 2^{5728968347760} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5728968347760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11490336000000).

5728968347760 is an abundant number, since it is smaller than the sum of its proper divisors (17251703652240).

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

5728968347760 is a wasteful number, since it uses less digits than its factorization.

5728968347760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33990 (or 33978 counting only the distinct ones).

The product of its (nonzero) digits is 853493760, while the sum is 72.

The spelling of 5728968347760 in words is "five trillion, seven hundred twenty-eight billion, nine hundred sixty-eight million, three hundred forty-seven thousand, seven hundred sixty".