6928320 has 112 divisors (see below), whose sum is σ = 25164288. Its totient is φ = 1582080.

The previous prime is 6928309. The next prime is 6928349. The reversal of 6928320 is 238296.

6928320 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is a congruent number.

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, 6205 + ... + 7235.

Almost surely, 2^6928320 is an apocalyptic number.

6928320 is a gapful number since it is divisible by the number (60) 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 6928320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12582144).

6928320 is an abundant number, since it is smaller than the sum of its proper divisors (18235968).

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

6928320 is a wasteful number, since it uses less digits than its factorization.

6928320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 6928320 is about 2632.1702072624. The cubic root of 6928320 is about 190.6379296076.

The spelling of 6928320 in words is "six million, nine hundred twenty-eight thousand, three hundred twenty".