428969587267584 has 576 divisors, whose sum is σ = 1402126597872000. Its totient is φ = 129944954142720.

The previous prime is 428969587267577. The next prime is 428969587267589. The reversal of 428969587267584 is 485762785969824.

428969587267584 is a `hidden beast` number, since 4 + 28 + 96 + 95 + 87 + 267 + 5 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 428969587267494 and 428969587267503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428969587267589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17567029327 + ... + 17567053745.

It is an arithmetic number, because the mean of its divisors is an integer number (2434247565750).

Almost surely, 2^{428969587267584} is an apocalyptic number.

428969587267584 is a gapful number since it is divisible by the number (44) 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 428969587267584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701063298936000).

428969587267584 is an abundant number, since it is smaller than the sum of its proper divisors (973157010604416).

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

428969587267584 is a wasteful number, since it uses less digits than its factorization.

428969587267584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27676 (or 27644 counting only the distinct ones).

The product of its digits is 117050572800, while the sum is 90.

The spelling of 428969587267584 in words is "four hundred twenty-eight trillion, nine hundred sixty-nine billion, five hundred eighty-seven million, two hundred sixty-seven thousand, five hundred eighty-four".