428216256 has 252 divisors, whose sum is σ = 1370475288. Its totient is φ = 127715328.

The previous prime is 428216251. The next prime is 428216267. The reversal of 428216256 is 652612824.

It is a happy number.

428216256 is a `hidden beast` number, since 4 + 2 + 8 + 21 + 625 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (46080) is a multiple of the sum of its prime factors (180).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 428216256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428216251) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5159191 + ... + 5159273.

It is an arithmetic number, because the mean of its divisors is an integer number (5438394).

Almost surely, 2^428216256 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 428216256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685237644).

428216256 is an abundant number, since it is smaller than the sum of its proper divisors (942259032).

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

428216256 is a wasteful number, since it uses less digits than its factorization.

428216256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 154 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 428216256 is about 20693.3867696905. The cubic root of 428216256 is about 753.7391091056.

The spelling of 428216256 in words is "four hundred twenty-eight million, two hundred sixteen thousand, two hundred fifty-six".