6928800 has 72 divisors (see below), whose sum is σ = 22561056. Its totient is φ = 1847040.

The previous prime is 6928793. The next prime is 6928811. The reversal of 6928800 is 88296.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 957 + ... + 3843.

It is an arithmetic number, because the mean of its divisors is an integer number (313348).

Almost surely, 2^6928800 is an apocalyptic number.

6928800 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 6928800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11280528).

6928800 is an abundant number, since it is smaller than the sum of its proper divisors (15632256).

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

6928800 is a wasteful number, since it uses less digits than its factorization.

6928800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2910 (or 2897 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 6928800 is about 2632.2613851971. The cubic root of 6928800 is about 190.6423320262.

The spelling of 6928800 in words is "six million, nine hundred twenty-eight thousand, eight hundred".