2728440 has 192 divisors, whose sum is σ = 10614240. Its totient is φ = 599040.

The previous prime is 2728409. The next prime is 2728447. The reversal of 2728440 is 448272.

2728440 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2728447) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 51454 + ... + 51506.

2^2728440 is an apocalyptic number.

2728440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2728440 is the 954-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2728440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5307120).

2728440 is an abundant number, since it is smaller than the sum of its proper divisors (7885800).

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

2728440 is a wasteful number, since it uses less digits than its factorization.

2728440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 2728440 is about 1651.7990192514. The cubic root of 2728440 is about 139.7348723762.

The spelling of 2728440 in words is "two million, seven hundred twenty-eight thousand, four hundred forty".