428219568 has 320 divisors, whose sum is σ = 1535616000. Its totient is φ = 111476736.

The previous prime is 428219567. The next prime is 428219591. The reversal of 428219568 is 865912824.

428219568 is a `hidden beast` number, since 4 + 2 + 82 + 1 + 9 + 568 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428219567) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1666096 + ... + 1666352.

It is an arithmetic number, because the mean of its divisors is an integer number (4798800).

Almost surely, 2^428219568 is an apocalyptic number.

428219568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428219568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767808000).

428219568 is an abundant number, since it is smaller than the sum of its proper divisors (1107396432).

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

428219568 is a wasteful number, since it uses less digits than its factorization.

428219568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 317 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 428219568 is about 20693.4667951023. The cubic root of 428219568 is about 753.7410523430.

The spelling of 428219568 in words is "four hundred twenty-eight million, two hundred nineteen thousand, five hundred sixty-eight".