2728616 has 32 divisors (see below), whose sum is σ = 5654880. Its totient is φ = 1224000.

The previous prime is 2728603. The next prime is 2728631. The reversal of 2728616 is 6168272.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8735 + ... + 9041.

It is an arithmetic number, because the mean of its divisors is an integer number (176715).

2^2728616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2728616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2827440).

2728616 is an abundant number, since it is smaller than the sum of its proper divisors (2926264).

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

2728616 is a wasteful number, since it uses less digits than its factorization.

2728616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 421 counting only the distinct ones).

The product of its digits is 8064, while the sum is 32.

The square root of 2728616 is about 1651.8522936389. The cubic root of 2728616 is about 139.7378768780.

It can be divided in two parts, 272 and 8616, that added together give a palindrome (8888).

The spelling of 2728616 in words is "two million, seven hundred twenty-eight thousand, six hundred sixteen".