6853728 has 144 divisors (see below), whose sum is σ = 22063104. Its totient is φ = 1854720.

The previous prime is 6853711. The next prime is 6853733. The reversal of 6853728 is 8273586.

Its product of digits (80640) is a multiple of the sum of its prime divisors (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145801 + ... + 145847.

It is an arithmetic number, because the mean of its divisors is an integer number (153216).

Almost surely, 2^6853728 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 6853728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11031552).

6853728 is an abundant number, since it is smaller than the sum of its proper divisors (15209376).

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

6853728 is a wasteful number, since it uses less digits than its factorization.

6853728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 90 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 6853728 is about 2617.9625665773. The cubic root of 6853728 is about 189.9513079288.

The spelling of 6853728 in words is "six million, eight hundred fifty-three thousand, seven hundred twenty-eight".