2005328 has 40 divisors (see below), whose sum is σ = 4333056. Its totient is φ = 892800.

The previous prime is 2005319. The next prime is 2005331. The reversal of 2005328 is 8235002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6293 + ... + 6603.

2^2005328 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 2005328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2166528).

2005328 is an abundant number, since it is smaller than the sum of its proper divisors (2327728).

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

2005328 is a wasteful number, since it uses less digits than its factorization.

2005328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2005328 is about 1416.0960419407. The cubic root of 2005328 is about 126.1038867752.

The spelling of 2005328 in words is "two million, five thousand, three hundred twenty-eight".