428056256 has 56 divisors (see below), whose sum is σ = 878525040. Its totient is φ = 206779392.

The previous prime is 428056253. The next prime is 428056273. The reversal of 428056256 is 652650824.

428056256 = T₄₀₃ + T₄₀₄ + ... + T₁₃₈₀.

It is not an unprimeable number, because it can be changed into a prime (428056253) 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 7 ways as a sum of consecutive naturals, for example, 385430 + ... + 386538.

Almost surely, 2^428056256 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 428056256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439262520).

428056256 is an abundant number, since it is smaller than the sum of its proper divisors (450468784).

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

428056256 is a wasteful number, since it uses less digits than its factorization.

428056256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 38.

The square root of 428056256 is about 20689.5204391015. The cubic root of 428056256 is about 753.6452209676.

The spelling of 428056256 in words is "four hundred twenty-eight million, fifty-six thousand, two hundred fifty-six".