2728664960200 has 48 divisors (see below), whose sum is σ = 6409549645380. Its totient is φ = 1080213749760.

The previous prime is 2728664960179. The next prime is 2728664960221. The reversal of 2728664960200 is 20694668272.

It is an interprime number because it is at equal distance from previous prime (2728664960179) and next prime (2728664960221).

It can be written as a sum of positive squares in 6 ways, for example, as 1847060392356 + 881604567844 = 1359066^2 + 938938^2 .

It is a super-2 number, since 2×2728664960200² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70307017 + ... + 70345816.

Almost surely, 2^{2728664960200} is an apocalyptic number.

2728664960200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2728664960200 is an abundant number, since it is smaller than the sum of its proper divisors (3680884685180).

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

2728664960200 is a wasteful number, since it uses less digits than its factorization.

2728664960200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140652946 (or 140652937 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 52.

The spelling of 2728664960200 in words is "two trillion, seven hundred twenty-eight billion, six hundred sixty-four million, nine hundred sixty thousand, two hundred".