428343824 has 10 divisors (see below), whose sum is σ = 829916190. Its totient is φ = 214171904.

The previous prime is 428343821. The next prime is 428343829.

428343824 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 218093824 + 210250000 = 14768^2 + 14500^2 .

It is not an unprimeable number, because it can be changed into a prime (428343821) by changing a digit.

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 as a sum of consecutive naturals, namely, 13385729 + ... + 13385760.

It is an arithmetic number, because the mean of its divisors is an integer number (82991619).

Almost surely, 2^428343824 is an apocalyptic number.

It is an amenable number.

428343824 is a deficient number, since it is larger than the sum of its proper divisors (401572366).

428343824 is a wasteful number, since it uses less digits than its factorization.

428343824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26771497 (or 26771491 counting only the distinct ones).

The product of its digits is 147456, while the sum is 38.

The square root of 428343824 is about 20696.4688775646. The cubic root of 428343824 is about 753.8139493627.

The spelling of 428343824 in words is "four hundred twenty-eight million, three hundred forty-three thousand, eight hundred twenty-four".