2728456416 has 432 divisors, whose sum is σ = 9579351600. Its totient is φ = 733372416.

The previous prime is 2728456399. The next prime is 2728456421. The reversal of 2728456416 is 6146548272.

2728456416 is a `hidden beast` number, since 2 + 7 + 2 + 84 + 564 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24145576 + ... + 24145688.

It is an arithmetic number, because the mean of its divisors is an integer number (22174425).

Almost surely, 2^2728456416 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 2728456416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4789675800).

2728456416 is an abundant number, since it is smaller than the sum of its proper divisors (6850895184).

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

2728456416 is a wasteful number, since it uses less digits than its factorization.

2728456416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 213 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 2728456416 is about 52234.6285140423. The cubic root of 2728456416 is about 1397.3515261974.

The spelling of 2728456416 in words is "two billion, seven hundred twenty-eight million, four hundred fifty-six thousand, four hundred sixteen".