828024 has 16 divisors (see below), whose sum is σ = 2070120. Its totient is φ = 276000.

The previous prime is 828013. The next prime is 828029. The reversal of 828024 is 420828.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 34501 = 828024 / (8 + 2 + 8 + 0 + 2 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 827985 and 828003.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 828024.

It is not an unprimeable number, because it can be changed into a prime (828029) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17227 + ... + 17274.

2⁸²⁸⁰²⁴ is an apocalyptic number.

It is an amenable number.

828024 is an abundant number, since it is smaller than the sum of its proper divisors (1242096).

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

828024 is a wasteful number, since it uses less digits than its factorization.

828024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34510 (or 34506 counting only the distinct ones).

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

The square root of 828024 is about 909.9582408001. The cubic root of 828024 is about 93.9033259910.

The spelling of 828024 in words is "eight hundred twenty-eight thousand, twenty-four".