824828 has 12 divisors (see below), whose sum is σ = 1519560. Its totient is φ = 390672.

The previous prime is 824821. The next prime is 824833. The reversal of 824828 is 828428.

It is a junction number, because it is equal to n+sod(n) for n = 824794 and 824803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (824821) by changing a digit.

824828 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, 5351 + ... + 5502.

It is an arithmetic number, because the mean of its divisors is an integer number (126630).

2⁸²⁴⁸²⁸ is an apocalyptic number.

It is an amenable number.

824828 is a deficient number, since it is larger than the sum of its proper divisors (694732).

824828 is a wasteful number, since it uses less digits than its factorization.

824828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10876 (or 10874 counting only the distinct ones).

The product of its digits is 8192, while the sum is 32.

The square root of 824828 is about 908.2004184099. The cubic root of 824828 is about 93.7823544624.

Subtracting 824828 from its reverse (828428), we obtain a square (3600 = 60²).

The spelling of 824828 in words is "eight hundred twenty-four thousand, eight hundred twenty-eight".