5728940386560 has 864 divisors, whose sum is σ = 21605280802560. Its totient is φ = 1437253632000.

The previous prime is 5728940386501. The next prime is 5728940386619. The reversal of 5728940386560 is 656830498275.

It is a happy number.

5728940386560 is a `hidden beast` number, since 5 + 7 + 28 + 9 + 40 + 3 + 8 + 6 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (5728940386501) and next prime (5728940386619).

It is a tau number, because it is divible by the number of its divisors (864).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1883898640 + ... + 1883901680.

It is an arithmetic number, because the mean of its divisors is an integer number (25006112040).

Almost surely, 2^{5728940386560} 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 5728940386560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10802640401280).

5728940386560 is an abundant number, since it is smaller than the sum of its proper divisors (15876340416000).

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

5728940386560 is a wasteful number, since it uses less digits than its factorization.

5728940386560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3260 (or 3221 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 5728940386560 in words is "five trillion, seven hundred twenty-eight billion, nine hundred forty million, three hundred eighty-six thousand, five hundred sixty".