828728 has 8 divisors (see below), whose sum is σ = 1553880. Its totient is φ = 414360.

The previous prime is 828721. The next prime is 828731. The reversal of 828728 is 827828.

It is a tau number, because it is divible by the number of its divisors (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828721) by changing a digit.

828728 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 as a sum of consecutive naturals, namely, 51788 + ... + 51803.

It is an arithmetic number, because the mean of its divisors is an integer number (194235).

2⁸²⁸⁷²⁸ is an apocalyptic number.

It is an amenable number.

828728 is a deficient number, since it is larger than the sum of its proper divisors (725152).

828728 is a wasteful number, since it uses less digits than its factorization.

828728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103597 (or 103593 counting only the distinct ones).

The product of its digits is 14336, while the sum is 35.

The square root of 828728 is about 910.3449895507. The cubic root of 828728 is about 93.9299311840.

Subtracting from 828728 its reverse (827828), we obtain a square (900 = 30²).

It can be divided in two parts, 82872 and 8, that multiplied together give a triangular number (662976 = T₁₁₅₁).

The spelling of 828728 in words is "eight hundred twenty-eight thousand, seven hundred twenty-eight".