824128 has 28 divisors (see below), whose sum is σ = 1666240. Its totient is φ = 404352.

The previous prime is 824123. The next prime is 824137. The reversal of 824128 is 821428.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (824123) by changing a digit.

824128 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4975 + ... + 5137.

2⁸²⁴¹²⁸ 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 824128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833120).

824128 is an abundant number, since it is smaller than the sum of its proper divisors (842112).

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

824128 is a wasteful number, since it uses less digits than its factorization.

824128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 244 counting only the distinct ones).

The product of its digits is 1024, while the sum is 25.

The square root of 824128 is about 907.8149591189. The cubic root of 824128 is about 93.7558171205.

The spelling of 824128 in words is "eight hundred twenty-four thousand, one hundred twenty-eight".