4288824 has 24 divisors (see below), whose sum is σ = 11615760. Its totient is φ = 1429584.

The previous prime is 4288807. The next prime is 4288847.

4288824 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×4288824² = 36788022605952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29712 + ... + 29855.

It is an arithmetic number, because the mean of its divisors is an integer number (483990).

Almost surely, 2^4288824 is an apocalyptic number.

It is an amenable number.

4288824 is an abundant number, since it is smaller than the sum of its proper divisors (7326936).

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

4288824 is a wasteful number, since it uses less digits than its factorization.

4288824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59579 (or 59572 counting only the distinct ones).

The product of its digits is 32768, while the sum is 36.

The square root of 4288824 is about 2070.9476091876. The cubic root of 4288824 is about 162.4723298054.

The spelling of 4288824 in words is "four million, two hundred eighty-eight thousand, eight hundred twenty-four".