6788928 has 56 divisors (see below), whose sum is σ = 18917920. Its totient is φ = 2142720.

The previous prime is 6788911. The next prime is 6788939. The reversal of 6788928 is 8298876.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 2718 + ... + 4578.

It is an arithmetic number, because the mean of its divisors is an integer number (337820).

Almost surely, 2^6788928 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 6788928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9458960).

6788928 is an abundant number, since it is smaller than the sum of its proper divisors (12128992).

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

6788928 is a wasteful number, since it uses less digits than its factorization.

6788928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1895 (or 1885 counting only the distinct ones).

The product of its digits is 387072, while the sum is 48.

The square root of 6788928 is about 2605.5571381184. The cubic root of 6788928 is about 189.3507665404.

The spelling of 6788928 in words is "six million, seven hundred eighty-eight thousand, nine hundred twenty-eight".