428848824 has 16 divisors (see below), whose sum is σ = 1072122120. Its totient is φ = 142949600.

The previous prime is 428848813. The next prime is 428848853.

428848824 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×428848824² = 367822627692365952, which contains 22 as substring.

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

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8934327 + ... + 8934374.

Almost surely, 2^428848824 is an apocalyptic number.

It is an amenable number.

428848824 is an abundant number, since it is smaller than the sum of its proper divisors (643273296).

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

428848824 is a wasteful number, since it uses less digits than its factorization.

428848824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17868710 (or 17868706 counting only the distinct ones).

The product of its digits is 1048576, while the sum is 48.

The square root of 428848824 is about 20708.6654326154. The cubic root of 428848824 is about 754.1100717146.

The spelling of 428848824 in words is "four hundred twenty-eight million, eight hundred forty-eight thousand, eight hundred twenty-four".