428163931584 has 252 divisors, whose sum is σ = 1279982340208. Its totient is φ = 142095513600.

The previous prime is 428163931541. The next prime is 428163931603. The reversal of 428163931584 is 485139361824.

It is a happy number.

428163931584 is a `hidden beast` number, since 4 + 28 + 1 + 6 + 3 + 9 + 31 + 584 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 428163931584.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 101194749 + ... + 101198979.

Almost surely, 2^428163931584 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 428163931584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639991170104).

428163931584 is an abundant number, since it is smaller than the sum of its proper divisors (851818408624).

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

428163931584 is an frugal number, since it uses more digits than its factorization.

428163931584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4508 (or 4477 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 428163931584 in words is "four hundred twenty-eight billion, one hundred sixty-three million, nine hundred thirty-one thousand, five hundred eighty-four".