2728431385000 has 40 divisors (see below), whose sum is σ = 6392714746770. Its totient is φ = 1091372552000.

The previous prime is 2728431384989. The next prime is 2728431385033. The reversal of 2728431385000 is 5831348272.

It can be written as a sum of positive squares in 5 ways, for example, as 15644506084 + 2712786878916 = 125078^2 + 1647054^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 9 ways as a sum of consecutive naturals, for example, 272838139 + ... + 272848138.

Almost surely, 2^{2728431385000} is an apocalyptic number.

2728431385000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2728431385000 is an abundant number, since it is smaller than the sum of its proper divisors (3664283361770).

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

2728431385000 is an equidigital number, since it uses as much as digits as its factorization.

2728431385000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545686303 (or 545686284 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The spelling of 2728431385000 in words is "two trillion, seven hundred twenty-eight billion, four hundred thirty-one million, three hundred eighty-five thousand".