3005328 has 80 divisors (see below), whose sum is σ = 8570880. Its totient is φ = 903168.

The previous prime is 3005297. The next prime is 3005329. The reversal of 3005328 is 8235003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3005329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23601 + ... + 23727.

It is an arithmetic number, because the mean of its divisors is an integer number (107136).

Almost surely, 2^3005328 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 3005328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4285440).

3005328 is an abundant number, since it is smaller than the sum of its proper divisors (5565552).

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

3005328 is a wasteful number, since it uses less digits than its factorization.

3005328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 3005328 is about 1733.5881863926. The cubic root of 3005328 is about 144.3102877095.

It can be divided in two parts, 3005 and 328, that added together give a palindrome (3333).

The spelling of 3005328 in words is "three million, five thousand, three hundred twenty-eight".