2728323200 has 96 divisors (see below), whose sum is σ = 7136412660. Its totient is φ = 1027112960.

The previous prime is 2728323193. The next prime is 2728323203. The reversal of 2728323200 is 23238272.

It can be written as a sum of positive squares in 6 ways, for example, as 1415565376 + 1312757824 = 37624^2 + 36232^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2728323203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29324 + ... + 79476.

Almost surely, 2^2728323200 is an apocalyptic number.

2728323200 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 2728323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3568206330).

2728323200 is an abundant number, since it is smaller than the sum of its proper divisors (4408089460).

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

2728323200 is a wasteful number, since it uses less digits than its factorization.

2728323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50194 (or 50177 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 2728323200 is about 52233.3533290751. The cubic root of 2728323200 is about 1397.3287840822.

The spelling of 2728323200 in words is "two billion, seven hundred twenty-eight million, three hundred twenty-three thousand, two hundred".