824000428 has 24 divisors (see below), whose sum is σ = 1490452992. Its totient is φ = 398368464.

The previous prime is 824000399. The next prime is 824000447.

824000428 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 824000396 and 824000405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10800 + ... + 42007.

It is an arithmetic number, because the mean of its divisors is an integer number (62102208).

Almost surely, 2^824000428 is an apocalyptic number.

It is an amenable number.

824000428 is a deficient number, since it is larger than the sum of its proper divisors (666452564).

824000428 is a wasteful number, since it uses less digits than its factorization.

824000428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52941 (or 52939 counting only the distinct ones).

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

The square root of 824000428 is about 28705.4076438569. The cubic root of 824000428 is about 937.5097918503.

It can be divided in two parts, 824000 and 428, that added together give a palindrome (824428).

The spelling of 824000428 in words is "eight hundred twenty-four million, four hundred twenty-eight", and thus it is an aban number.