2728800 has 108 divisors (see below), whose sum is σ = 9647820. Its totient is φ = 725760.

The previous prime is 2728777. The next prime is 2728801. The reversal of 2728800 is 88272.

2728800 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2728801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7011 + ... + 7389.

2^2728800 is an apocalyptic number.

2728800 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 2728800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4823910).

2728800 is an abundant number, since it is smaller than the sum of its proper divisors (6919020).

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

2728800 is a wasteful number, since it uses less digits than its factorization.

2728800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 2728800 is about 1651.9079877523. The cubic root of 2728800 is about 139.7410178099.

The spelling of 2728800 in words is "two million, seven hundred twenty-eight thousand, eight hundred".