2728209600 has 294 divisors, whose sum is σ = 10069349940. Its totient is φ = 727211520.

The previous prime is 2728209599. The next prime is 2728209641. The reversal of 2728209600 is 69028272.

2728209600 is a `hidden beast` number, since 2 + 7 + 28 + 20 + 9 + 600 = 666.

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

It is an unprimeable number.

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 41 ways as a sum of consecutive naturals, for example, 1165231 + ... + 1167569.

Almost surely, 2^2728209600 is an apocalyptic number.

2728209600 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 2728209600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5034674970).

2728209600 is an abundant number, since it is smaller than the sum of its proper divisors (7341140340).

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

2728209600 is an equidigital number, since it uses as much as digits as its factorization.

2728209600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2379 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2728209600 is about 52232.2658899650. The cubic root of 2728209600 is about 1397.3093901491.

The spelling of 2728209600 in words is "two billion, seven hundred twenty-eight million, two hundred nine thousand, six hundred".