2728681200 has 720 divisors, whose sum is σ = 11753414400. Its totient is φ = 572313600.

The previous prime is 2728681187. The next prime is 2728681211. The reversal of 2728681200 is 21868272.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19630731 + ... + 19630869.

Almost surely, 2^2728681200 is an apocalyptic number.

2728681200 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 2728681200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5876707200).

2728681200 is an abundant number, since it is smaller than the sum of its proper divisors (9024733200).

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

2728681200 is a wasteful number, since it uses less digits than its factorization.

2728681200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 2728681200 is about 52236.7801457938. The cubic root of 2728681200 is about 1397.3898987657.

The spelling of 2728681200 in words is "two billion, seven hundred twenty-eight million, six hundred eighty-one thousand, two hundred".