2728202039000 has 128 divisors (see below), whose sum is σ = 6727855680000. Its totient is φ = 1032635260800.

The previous prime is 2728202038987. The next prime is 2728202039009. The reversal of 2728202039000 is 9302028272.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2728202039009) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 16237421 + ... + 16404579.

It is an arithmetic number, because the mean of its divisors is an integer number (52561372500).

Almost surely, 2^{2728202039000} is an apocalyptic number.

2728202039000 is a gapful number since it is divisible by the number (20) 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 2728202039000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3363927840000).

2728202039000 is an abundant number, since it is smaller than the sum of its proper divisors (3999653641000).

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

2728202039000 is a wasteful number, since it uses less digits than its factorization.

2728202039000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168058 (or 168044 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The spelling of 2728202039000 in words is "two trillion, seven hundred twenty-eight billion, two hundred two million, thirty-nine thousand".