428821264 has 45 divisors (see below), whose sum is σ = 863678631. Its totient is φ = 206251680.

The previous prime is 428821259. The next prime is 428821273. The reversal of 428821264 is 462128824.

The square root of 428821264 is 20708.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 2567709 + ... + 2567875.

Almost surely, 2^428821264 is an apocalyptic number.

428821264 is the 20708-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428821264

428821264 is an abundant number, since it is smaller than the sum of its proper divisors (434857367).

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

428821264 is an equidigital number, since it uses as much as digits as its factorization.

428821264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 200 counting only the distinct ones).

The product of its digits is 49152, while the sum is 37.

The cubic root of 428821264 is about 754.0939170562.

It can be divided in two parts, 4288 and 21264, that added together give a palindrome (25552).

The spelling of 428821264 in words is "four hundred twenty-eight million, eight hundred twenty-one thousand, two hundred sixty-four".