2728771584 has 360 divisors, whose sum is σ = 9323653248. Its totient is φ = 701890560.

The previous prime is 2728771579. The next prime is 2728771603. The reversal of 2728771584 is 4851778272.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26492877 + ... + 26492979.

Almost surely, 2^2728771584 is an apocalyptic number.

2728771584 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2728771584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4661826624).

2728771584 is an abundant number, since it is smaller than the sum of its proper divisors (6594881664).

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

2728771584 is a wasteful number, since it uses less digits than its factorization.

2728771584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 126 counting only the distinct ones).

The product of its digits is 1756160, while the sum is 51.

The square root of 2728771584 is about 52237.6452761799. The cubic root of 2728771584 is about 1397.4053275003.

The spelling of 2728771584 in words is "two billion, seven hundred twenty-eight million, seven hundred seventy-one thousand, five hundred eighty-four".