2728656122192 has 320 divisors, whose sum is σ = 7645910630400. Its totient is φ = 908384716800.

The previous prime is 2728656122189. The next prime is 2728656122219. The reversal of 2728656122192 is 2912216568272.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11299934 + ... + 11538882.

It is an arithmetic number, because the mean of its divisors is an integer number (23893470720).

Almost surely, 2^{2728656122192} is an apocalyptic number.

2728656122192 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2728656122192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3822955315200).

2728656122192 is an abundant number, since it is smaller than the sum of its proper divisors (4917254508208).

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

2728656122192 is a wasteful number, since it uses less digits than its factorization.

2728656122192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239042 (or 239036 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 53.

The spelling of 2728656122192 in words is "two trillion, seven hundred twenty-eight billion, six hundred fifty-six million, one hundred twenty-two thousand, one hundred ninety-two".