6983328 has 96 divisors (see below), whose sum is σ = 21228480. Its totient is φ = 1986560.

The previous prime is 6983323. The next prime is 6983357. The reversal of 6983328 is 8233896.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (6983323) 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, 17758 + ... + 18146.

It is an arithmetic number, because the mean of its divisors is an integer number (221130).

Almost surely, 2^6983328 is an apocalyptic number.

6983328 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6983328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10614240).

6983328 is an abundant number, since it is smaller than the sum of its proper divisors (14245152).

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

6983328 is a wasteful number, since it uses less digits than its factorization.

6983328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 422 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 6983328 is about 2642.5987209563. The cubic root of 6983328 is about 191.1411290308.

The spelling of 6983328 in words is "six million, nine hundred eighty-three thousand, three hundred twenty-eight".