2728860580368 has 640 divisors, whose sum is σ = 9066086400000. Its totient is φ = 778898405376.

The previous prime is 2728860580361. The next prime is 2728860580441. The reversal of 2728860580368 is 8630850688272.

2728860580368 is a `hidden beast` number, since 27 + 28 + 8 + 6 + 0 + 580 + 3 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (2728860580361) 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, 1070559958 + ... + 1070562506.

It is an arithmetic number, because the mean of its divisors is an integer number (14165760000).

Almost surely, 2^{2728860580368} 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 2728860580368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4533043200000).

2728860580368 is an abundant number, since it is smaller than the sum of its proper divisors (6337225819632).

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

2728860580368 is a wasteful number, since it uses less digits than its factorization.

2728860580368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2804 (or 2792 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 2728860580368 in words is "two trillion, seven hundred twenty-eight billion, eight hundred sixty million, five hundred eighty thousand, three hundred sixty-eight".