2728922200 has 48 divisors (see below), whose sum is σ = 6370139160. Its totient is φ = 1087200000.

The previous prime is 2728922153. The next prime is 2728922213. The reversal of 2728922200 is 22298272.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23020 + ... + 77380.

Almost surely, 2^2728922200 is an apocalyptic number.

2728922200 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 2728922200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3185069580).

2728922200 is an abundant number, since it is smaller than the sum of its proper divisors (3641216960).

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

2728922200 is a wasteful number, since it uses less digits than its factorization.

2728922200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54628 (or 54619 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 2728922200 is about 52239.0868986050. The cubic root of 2728922200 is about 1397.4310372042.

The spelling of 2728922200 in words is "two billion, seven hundred twenty-eight million, nine hundred twenty-two thousand, two hundred".