2728825792 has 112 divisors (see below), whose sum is σ = 6796113408. Its totient is φ = 1056107520.

The previous prime is 2728825769. The next prime is 2728825819. The reversal of 2728825792 is 2975288272.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 771933 + ... + 775459.

It is an arithmetic number, because the mean of its divisors is an integer number (60679584).

Almost surely, 2^2728825792 is an apocalyptic number.

2728825792 is a gapful number since it is divisible by the number (22) 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 2728825792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3398056704).

2728825792 is an abundant number, since it is smaller than the sum of its proper divisors (4067287616).

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

2728825792 is a wasteful number, since it uses less digits than its factorization.

2728825792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3714 (or 3704 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 52.

The square root of 2728825792 is about 52238.1641331316. The cubic root of 2728825792 is about 1397.4145807539.

The spelling of 2728825792 in words is "two billion, seven hundred twenty-eight million, eight hundred twenty-five thousand, seven hundred ninety-two".