428648256 has 84 divisors (see below), whose sum is σ = 1261912132. Its totient is φ = 139014144.

The previous prime is 428648249. The next prime is 428648267. The reversal of 428648256 is 652846824.

428648256 is a `hidden beast` number, since 42 + 86 + 482 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 197121600 + 231526656 = 14040^2 + 15216^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11256 + ... + 31368.

Almost surely, 2^428648256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428648256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630956066).

428648256 is an abundant number, since it is smaller than the sum of its proper divisors (833263876).

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

428648256 is a wasteful number, since it uses less digits than its factorization.

428648256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20168 (or 20155 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 428648256 is about 20703.8222558058. The cubic root of 428648256 is about 753.9924903154.

The spelling of 428648256 in words is "four hundred twenty-eight million, six hundred forty-eight thousand, two hundred fifty-six".