824428 has 24 divisors (see below), whose sum is σ = 1615824. Its totient is φ = 364800.

The previous prime is 824419. The next prime is 824437.

824428 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (824419) and next prime (824437).

It is a junction number, because it is equal to n+sod(n) for n = 824396 and 824405.

It is an unprimeable number.

824428 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 7 ways as a sum of consecutive naturals, for example, 1576 + ... + 2032.

It is an arithmetic number, because the mean of its divisors is an integer number (67326).

2⁸²⁴⁴²⁸ is an apocalyptic number.

It is an amenable number.

824428 is a deficient number, since it is larger than the sum of its proper divisors (791396).

824428 is a wasteful number, since it uses less digits than its factorization.

824428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 511 counting only the distinct ones).

The product of its digits is 4096, while the sum is 28.

The square root of 824428 is about 907.9801759950. The cubic root of 824428 is about 93.7671921063.

The spelling of 824428 in words is "eight hundred twenty-four thousand, four hundred twenty-eight".