812728 has 32 divisors (see below), whose sum is σ = 1820160. Its totient is φ = 332640.

The previous prime is 812717. The next prime is 812731. The reversal of 812728 is 827218.

812728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

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

It is a junction number, because it is equal to n+sod(n) for n = 812696 and 812705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 973 + ... + 1603.

It is an arithmetic number, because the mean of its divisors is an integer number (56880).

2⁸¹²⁷²⁸ 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 812728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910080).

812728 is an abundant number, since it is smaller than the sum of its proper divisors (1007432).

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

812728 is a wasteful number, since it uses less digits than its factorization.

812728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 663 counting only the distinct ones).

The product of its digits is 1792, while the sum is 28.

The square root of 812728 is about 901.5142816395. The cubic root of 812728 is about 93.3215064379.

It can be divided in two parts, 812 and 728, that added together give a triangular number (1540 = T₅₅).

The spelling of 812728 in words is "eight hundred twelve thousand, seven hundred twenty-eight".