2728084800 has 336 divisors, whose sum is σ = 10444073600. Its totient is φ = 623185920.

The previous prime is 2728084789. The next prime is 2728084811. The reversal of 2728084800 is 84808272.

It is an interprime number because it is at equal distance from previous prime (2728084789) and next prime (2728084811).

It is a tau number, because it is divible by the number of its divisors (336).

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, 1645572 + ... + 1647228.

Almost surely, 2^2728084800 is an apocalyptic number.

2728084800 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 2728084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5222036800).

2728084800 is an abundant number, since it is smaller than the sum of its proper divisors (7715988800).

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

2728084800 is a wasteful number, since it uses less digits than its factorization.

2728084800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1703 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 2728084800 is about 52231.0712124498. The cubic root of 2728084800 is about 1397.2880835174.

The spelling of 2728084800 in words is "two billion, seven hundred twenty-eight million, eighty-four thousand, eight hundred".