2728605824 has 128 divisors (see below), whose sum is σ = 6474470400. Its totient is φ = 1120702464.

The previous prime is 2728605797. The next prime is 2728605839. The reversal of 2728605824 is 4285068272.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4494929 + ... + 4495535.

It is an arithmetic number, because the mean of its divisors is an integer number (50581800).

Almost surely, 2^2728605824 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 2728605824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3237235200).

2728605824 is an abundant number, since it is smaller than the sum of its proper divisors (3745864576).

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

2728605824 is a wasteful number, since it uses less digits than its factorization.

2728605824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 44.

The square root of 2728605824 is about 52236.0586568321. The cubic root of 2728605824 is about 1397.3770316670.

The spelling of 2728605824 in words is "two billion, seven hundred twenty-eight million, six hundred five thousand, eight hundred twenty-four".