6839728 has 40 divisors (see below), whose sum is σ = 15275808. Its totient is φ = 2906112.

The previous prime is 6839719. The next prime is 6839771. The reversal of 6839728 is 8279386.

It is a super-2 number, since 2×6839728² = 93563758227968, which contains 22 as substring.

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, 19200 + ... + 19552.

Almost surely, 2^6839728 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 6839728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7637904).

6839728 is an abundant number, since it is smaller than the sum of its proper divisors (8436080).

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

6839728 is a wasteful number, since it uses less digits than its factorization.

6839728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 535 counting only the distinct ones).

The product of its digits is 145152, while the sum is 43.

The square root of 6839728 is about 2615.2873647077. The cubic root of 6839728 is about 189.8218829364.

The spelling of 6839728 in words is "six million, eight hundred thirty-nine thousand, seven hundred twenty-eight".