2728099200 has 384 divisors, whose sum is σ = 9470822400. Its totient is φ = 689356800.

The previous prime is 2728099193. The next prime is 2728099307. The reversal of 2728099200 is 29908272.

It is a tau number, because it is divible by the number of its divisors (384).

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, 26486349 + ... + 26486451.

It is an arithmetic number, because the mean of its divisors is an integer number (24663600).

Almost surely, 2^2728099200 is an apocalyptic number.

2728099200 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 2728099200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4735411200).

2728099200 is an abundant number, since it is smaller than the sum of its proper divisors (6742723200).

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

2728099200 is a wasteful number, since it uses less digits than its factorization.

2728099200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 2728099200 is about 52231.2090612500. The cubic root of 2728099200 is about 1397.2905420081.

The spelling of 2728099200 in words is "two billion, seven hundred twenty-eight million, ninety-nine thousand, two hundred".