6005328 has 80 divisors (see below), whose sum is σ = 18082176. Its totient is φ = 1681920.

The previous prime is 6005327. The next prime is 6005339. The reversal of 6005328 is 8235006.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 6005298 and 6005307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6005327) 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, 20350 + ... + 20642.

Almost surely, 2^6005328 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 6005328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9041088).

6005328 is an abundant number, since it is smaller than the sum of its proper divisors (12076848).

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

6005328 is a wasteful number, since it uses less digits than its factorization.

6005328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 6005328 is about 2450.5770748948. The cubic root of 6005328 is about 181.7658301397.

The spelling of 6005328 in words is "six million, five thousand, three hundred twenty-eight".