3005728 has 24 divisors (see below), whose sum is σ = 6456240. Its totient is φ = 1366080.

The previous prime is 3005711. The next prime is 3005731. The reversal of 3005728 is 8275003.

3005728 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3005728³ = 81464854433374765056, which contains 333 as substring.

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 3 ways as a sum of consecutive naturals, for example, 3918 + ... + 4621.

It is an arithmetic number, because the mean of its divisors is an integer number (269010).

Almost surely, 2^3005728 is an apocalyptic number.

It is an amenable number.

3005728 is an abundant number, since it is smaller than the sum of its proper divisors (3450512).

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

3005728 is a wasteful number, since it uses less digits than its factorization.

3005728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8560 (or 8552 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 3005728 is about 1733.7035502069. The cubic root of 3005728 is about 144.3166898453.

The spelling of 3005728 in words is "three million, five thousand, seven hundred twenty-eight".