6728928 has 48 divisors (see below), whose sum is σ = 18280080. Its totient is φ = 2164736.

The previous prime is 6728881. The next prime is 6728947. The reversal of 6728928 is 8298276.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a d-powerful number, because it can be written as 6⁸ + 7 + 2⁵ + 8² + 9⁷ + 2¹⁸ + 8⁴ .

It is a self number, because there is not a number n which added to its sum of digits gives 6728928.

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, 1576 + ... + 3992.

It is an arithmetic number, because the mean of its divisors is an integer number (380835).

Almost surely, 2^6728928 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 6728928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9140040).

6728928 is an abundant number, since it is smaller than the sum of its proper divisors (11551152).

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

6728928 is a wasteful number, since it uses less digits than its factorization.

6728928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2459 (or 2451 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 6728928 is about 2594.0177331699. The cubic root of 6728928 is about 188.7912928092.

The spelling of 6728928 in words is "six million, seven hundred twenty-eight thousand, nine hundred twenty-eight".