2728080 has 100 divisors (see below), whose sum is σ = 9497532. Its totient is φ = 725760.

The previous prime is 2728079. The next prime is 2728097. The reversal of 2728080 is 808272.

It can be written as a sum of positive squares in 2 ways, for example, as 331776 + 2396304 = 576^2 + 1548^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6270 + ... + 6690.

2^2728080 is an apocalyptic number.

2728080 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 2728080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4748766).

2728080 is an abundant number, since it is smaller than the sum of its proper divisors (6769452).

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

2728080 is a wasteful number, since it uses less digits than its factorization.

2728080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 431 counting only the distinct ones).

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

The square root of 2728080 is about 1651.6900435614. The cubic root of 2728080 is about 139.7287264019.

The spelling of 2728080 in words is "two million, seven hundred twenty-eight thousand, eighty".