826728 has 96 divisors (see below), whose sum is σ = 2599200. Its totient is φ = 217728.

The previous prime is 826723. The next prime is 826729. The reversal of 826728 is 827628.

826728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

826728 is an undulating number in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (826723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22326 + ... + 22362.

It is an arithmetic number, because the mean of its divisors is an integer number (27075).

2⁸²⁶⁷²⁸ 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 826728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299600).

826728 is an abundant number, since it is smaller than the sum of its proper divisors (1772472).

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

826728 is a wasteful number, since it uses less digits than its factorization.

826728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 68 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 826728 is about 909.2458413433. The cubic root of 826728 is about 93.8543087891.

Subtracting 826728 from its reverse (827628), we obtain a square (900 = 30²).

The spelling of 826728 in words is "eight hundred twenty-six thousand, seven hundred twenty-eight".