428882563648 has 224 divisors, whose sum is σ = 1110749331456. Its totient is φ = 159425280000.

The previous prime is 428882563619. The next prime is 428882563691. The reversal of 428882563648 is 846365288824.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a self number, because there is not a number n which added to its sum of digits gives 428882563648.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10826758 + ... + 10866298.

Almost surely, 2^428882563648 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 428882563648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555374665728).

428882563648 is an abundant number, since it is smaller than the sum of its proper divisors (681866767808).

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

428882563648 is a wasteful number, since it uses less digits than its factorization.

428882563648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39673 (or 39663 counting only the distinct ones).

The product of its digits is 141557760, while the sum is 64.

The spelling of 428882563648 in words is "four hundred twenty-eight billion, eight hundred eighty-two million, five hundred sixty-three thousand, six hundred forty-eight".