2728092110016 has 1260 divisors, whose sum is σ = 9722522619432. Its totient is φ = 674601467904.

The previous prime is 2728092109999. The next prime is 2728092110017. The reversal of 2728092110016 is 6100112908272.

2728092110016 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 (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2728092110017) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 28124660880 + ... + 28124660976.

Almost surely, 2^{2728092110016} is an apocalyptic number.

2728092110016 is a gapful number since it is divisible by the number (26) 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 2728092110016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4861261309716).

2728092110016 is an abundant number, since it is smaller than the sum of its proper divisors (6994430509416).

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

2728092110016 is an equidigital number, since it uses as much as digits as its factorization.

2728092110016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The spelling of 2728092110016 in words is "two trillion, seven hundred twenty-eight billion, ninety-two million, one hundred ten thousand, sixteen".