728676 has 60 divisors (see below), whose sum is σ = 2063292. Its totient is φ = 222912.

The previous prime is 728659. The next prime is 728681. The reversal of 728676 is 676827.

728676 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 396900 + 331776 = 630^2 + 576^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 728676.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 728676.

It is an unprimeable number.

728676 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 19 ways as a sum of consecutive naturals, for example, 4126 + ... + 4298.

2⁷²⁸⁶⁷⁶ 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 728676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031646).

728676 is an abundant number, since it is smaller than the sum of its proper divisors (1334616).

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

728676 is a wasteful number, since it uses less digits than its factorization.

728676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 191 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 728676 is about 853.6252104993. The cubic root of 728676 is about 89.9866646909.

Adding to 728676 its product of digits (28224), we get a square (756900 = 870²).

The spelling of 728676 in words is "seven hundred twenty-eight thousand, six hundred seventy-six".