813728 has 24 divisors (see below), whose sum is σ = 1632960. Its totient is φ = 399040.

The previous prime is 813721. The next prime is 813749. The reversal of 813728 is 827318.

It is a plaindrome in base 15.

It is a zygodrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 813728.

It is not an unprimeable number, because it can be changed into a prime (813721) by changing a digit.

813728 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1673 + ... + 2103.

It is an arithmetic number, because the mean of its divisors is an integer number (68040).

2⁸¹³⁷²⁸ 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 813728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816480).

813728 is an abundant number, since it is smaller than the sum of its proper divisors (819232).

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

813728 is a wasteful number, since it uses less digits than its factorization.

813728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 492 counting only the distinct ones).

The product of its digits is 2688, while the sum is 29.

The square root of 813728 is about 902.0687335231. The cubic root of 813728 is about 93.3597657561.

The spelling of 813728 in words is "eight hundred thirteen thousand, seven hundred twenty-eight".