6728000 has 84 divisors (see below), whose sum is σ = 17256252. Its totient is φ = 2598400.

The previous prime is 6727993. The next prime is 6728009. The reversal of 6728000 is 8276.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 2027776 + 4700224 = 1424^2 + 2168^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6728009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 231986 + ... + 232014.

Almost surely, 2^6728000 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 6728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8628126).

6728000 is an abundant number, since it is smaller than the sum of its proper divisors (10528252).

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

6728000 is an equidigital number, since it uses as much as digits as its factorization.

6728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 6728000 is about 2593.8388538998. The cubic root of 6728000 is about 188.7826135478.

The spelling of 6728000 in words is "six million, seven hundred twenty-eight thousand".