2728547584 has 72 divisors (see below), whose sum is σ = 6425420288. Its totient is φ = 1131632640.

The previous prime is 2728547567. The next prime is 2728547599. The reversal of 2728547584 is 4857458272.

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, 30994 + ... + 80110.

Almost surely, 2^2728547584 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 2728547584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3212710144).

2728547584 is an abundant number, since it is smaller than the sum of its proper divisors (3696872704).

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

2728547584 is an equidigital number, since it uses as much as digits as its factorization.

2728547584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49171 (or 49157 counting only the distinct ones).

The product of its digits is 5017600, while the sum is 52.

The square root of 2728547584 is about 52235.5011845392. The cubic root of 2728547584 is about 1397.3670896157.

The spelling of 2728547584 in words is "two billion, seven hundred twenty-eight million, five hundred forty-seven thousand, five hundred eighty-four".