2728056057600 has 216 divisors, whose sum is σ = 9246484211440. Its totient is φ = 707819765760.

The previous prime is 2728056057569. The next prime is 2728056057613. The reversal of 2728056057600 is 67506508272.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2728056057600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1209685 + ... + 2630484.

Almost surely, 2^{2728056057600} is an apocalyptic number.

2728056057600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2728056057600 is an abundant number, since it is smaller than the sum of its proper divisors (6518428153840).

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

2728056057600 is a wasteful number, since it uses less digits than its factorization.

2728056057600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3840235 (or 3840216 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

The spelling of 2728056057600 in words is "two trillion, seven hundred twenty-eight billion, fifty-six million, fifty-seven thousand, six hundred".