2728953273312 has 1344 divisors, whose sum is σ = 10597895884800. Its totient is φ = 672383877120.

The previous prime is 2728953273289. The next prime is 2728953273317. The reversal of 2728953273312 is 2133723598272.

2728953273312 is a `hidden beast` number, since 2 + 7 + 2 + 8 + 9 + 53 + 273 + 312 = 666.

2728953273312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2728953273317) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1635082014 + ... + 1635083682.

It is an arithmetic number, because the mean of its divisors is an integer number (7885339200).

Almost surely, 2^{2728953273312} 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 2728953273312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5298947942400).

2728953273312 is an abundant number, since it is smaller than the sum of its proper divisors (7868942611488).

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

2728953273312 is a wasteful number, since it uses less digits than its factorization.

2728953273312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771 (or 1748 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The spelling of 2728953273312 in words is "two trillion, seven hundred twenty-eight billion, nine hundred fifty-three million, two hundred seventy-three thousand, three hundred twelve".