824028 has 12 divisors (see below), whose sum is σ = 1922760. Its totient is φ = 274672.

The previous prime is 824017. The next prime is 824029. The reversal of 824028 is 820428.

824028 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 823989 and 824007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (824029) by changing a digit.

824028 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, 34323 + ... + 34346.

It is an arithmetic number, because the mean of its divisors is an integer number (160230).

2⁸²⁴⁰²⁸ is an apocalyptic number.

It is an amenable number.

824028 is an abundant number, since it is smaller than the sum of its proper divisors (1098732).

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

824028 is a wasteful number, since it uses less digits than its factorization.

824028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68676 (or 68674 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 824028 is about 907.7598801445. The cubic root of 824028 is about 93.7520248452.

Subtracting from 824028 its reverse (820428), we obtain a square (3600 = 60²).

The spelling of 824028 in words is "eight hundred twenty-four thousand, twenty-eight".