2728430990200 has 192 divisors, whose sum is σ = 6856508878560. Its totient is φ = 1005979729920.

The previous prime is 2728430990177. The next prime is 2728430990213. The reversal of 2728430990200 is 20990348272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39374784 + ... + 39444016.

Almost surely, 2^{2728430990200} is an apocalyptic number.

2728430990200 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 2728430990200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3428254439280).

2728430990200 is an abundant number, since it is smaller than the sum of its proper divisors (4128077888360).

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

2728430990200 is a wasteful number, since it uses less digits than its factorization.

2728430990200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69506 (or 69497 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The spelling of 2728430990200 in words is "two trillion, seven hundred twenty-eight billion, four hundred thirty million, nine hundred ninety thousand, two hundred".