3928573185160 has 256 divisors, whose sum is σ = 9688398854400. Its totient is φ = 1425065951232.

The previous prime is 3928573185139. The next prime is 3928573185191. The reversal of 3928573185160 is 615813758293.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3928573185095 and 3928573185104.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6109755799 + ... + 6109756441.

It is an arithmetic number, because the mean of its divisors is an integer number (37845308025).

Almost surely, 2^{3928573185160} 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 3928573185160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4844199427200).

3928573185160 is an abundant number, since it is smaller than the sum of its proper divisors (5759825669240).

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

3928573185160 is a wasteful number, since it uses less digits than its factorization.

3928573185160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1560 (or 1556 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 58.

The spelling of 3928573185160 in words is "three trillion, nine hundred twenty-eight billion, five hundred seventy-three million, one hundred eighty-five thousand, one hundred sixty".