6328000 has 112 divisors (see below), whose sum is σ = 18068544. Its totient is φ = 2150400.

The previous prime is 6327991. The next prime is 6328019. The reversal of 6328000 is 8236.

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

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55944 + ... + 56056.

Almost surely, 2^6328000 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 6328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9034272).

6328000 is an abundant number, since it is smaller than the sum of its proper divisors (11740544).

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

6328000 is a wasteful number, since it uses less digits than its factorization.

6328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 6328000 is about 2515.5516293648. The cubic root of 6328000 is about 184.9646876843.

The spelling of 6328000 in words is "six million, three hundred twenty-eight thousand".