4285824 has 32 divisors (see below), whose sum is σ = 11385240. Its totient is φ = 1428480.

The previous prime is 4285817. The next prime is 4285847.

It is a happy number.

4285824 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable 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, 5197 + ... + 5964.

Almost surely, 2^4285824 is an apocalyptic number.

It is an amenable number.

4285824 is an abundant number, since it is smaller than the sum of its proper divisors (7099416).

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

4285824 is a wasteful number, since it uses less digits than its factorization.

4285824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11178 (or 11166 counting only the distinct ones).

The product of its digits is 20480, while the sum is 33.

The square root of 4285824 is about 2070.2231763750. The cubic root of 4285824 is about 162.4344382465.

The spelling of 4285824 in words is "four million, two hundred eighty-five thousand, eight hundred twenty-four".