2728936800 has 216 divisors, whose sum is σ = 9768265416. Its totient is φ = 716728320.

The previous prime is 2728936799. The next prime is 2728936829. The reversal of 2728936800 is 86398272.

2728936800 is a `hidden beast` number, since 2 + 7 + 289 + 368 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 35 ways as a sum of consecutive naturals, for example, 479572 + ... + 485228.

It is an arithmetic number, because the mean of its divisors is an integer number (45223451).

Almost surely, 2^2728936800 is an apocalyptic number.

2728936800 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 2728936800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4884132708).

2728936800 is an abundant number, since it is smaller than the sum of its proper divisors (7039328616).

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

2728936800 is a wasteful number, since it uses less digits than its factorization.

2728936800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5750 (or 5734 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2728936800 is about 52239.2266405237. The cubic root of 2728936800 is about 1397.4335293305.

The spelling of 2728936800 in words is "two billion, seven hundred twenty-eight million, nine hundred thirty-six thousand, eight hundred".