428262824 has 16 divisors (see below), whose sum is σ = 875992320. Its totient is φ = 194664880.

The previous prime is 428262823. The next prime is 428262847.

428262824 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (428262823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2433224 + ... + 2433399.

It is an arithmetic number, because the mean of its divisors is an integer number (54749520).

Almost surely, 2^428262824 is an apocalyptic number.

428262824 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

428262824 is an abundant number, since it is smaller than the sum of its proper divisors (447729496).

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

428262824 is a wasteful number, since it uses less digits than its factorization.

428262824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4866640 (or 4866636 counting only the distinct ones).

The product of its digits is 98304, while the sum is 38.

The square root of 428262824 is about 20694.5119294947. The cubic root of 428262824 is about 753.7664308541.

The spelling of 428262824 in words is "four hundred twenty-eight million, two hundred sixty-two thousand, eight hundred twenty-four".