2728416 has 48 divisors (see below), whose sum is σ = 7260624. Its totient is φ = 897024.

The previous prime is 2728409. The next prime is 2728447. The reversal of 2728416 is 6148272.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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, 9166 + ... + 9458.

It is an arithmetic number, because the mean of its divisors is an integer number (151263).

2^2728416 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 2728416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3630312).

2728416 is an abundant number, since it is smaller than the sum of its proper divisors (4532208).

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

2728416 is a wasteful number, since it uses less digits than its factorization.

2728416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 395 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 2728416 is about 1651.7917544291. The cubic root of 2728416 is about 139.7344626614.

The spelling of 2728416 in words is "two million, seven hundred twenty-eight thousand, four hundred sixteen".