428039568 has 240 divisors, whose sum is σ = 1411338240. Its totient is φ = 119750400.

The previous prime is 428039551. The next prime is 428039597. The reversal of 428039568 is 865930824.

428039568 is a `hidden beast` number, since 4 + 2 + 80 + 3 + 9 + 568 = 666.

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 47 ways as a sum of consecutive naturals, for example, 1129203 + ... + 1129581.

It is an arithmetic number, because the mean of its divisors is an integer number (5880576).

Almost surely, 2^428039568 is an apocalyptic number.

428039568 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 428039568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705669120).

428039568 is an abundant number, since it is smaller than the sum of its proper divisors (983298672).

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

428039568 is a wasteful number, since it uses less digits than its factorization.

428039568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 428039568 is about 20689.1171392111. The cubic root of 428039568 is about 753.6354270876.

The spelling of 428039568 in words is "four hundred twenty-eight million, thirty-nine thousand, five hundred sixty-eight".