2728240 has 40 divisors (see below), whose sum is σ = 6450480. Its totient is φ = 1072896.

The previous prime is 2728207. The next prime is 2728241. The reversal of 2728240 is 428272.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (2728241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5106 + ... + 5614.

It is an arithmetic number, because the mean of its divisors is an integer number (161262).

2^2728240 is an apocalyptic number.

2728240 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 2728240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3225240).

2728240 is an abundant number, since it is smaller than the sum of its proper divisors (3722240).

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

2728240 is a wasteful number, since it uses less digits than its factorization.

2728240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 2728240 is about 1651.7384780891. The cubic root of 2728240 is about 139.7314580128.

Subtracting from 2728240 its reverse (428272), we obtain a cube (2299968 = 132³).

The spelling of 2728240 in words is "two million, seven hundred twenty-eight thousand, two hundred forty".