428034396384 has 480 divisors, whose sum is σ = 1476349459200. Its totient is φ = 119109408768.

The previous prime is 428034396373. The next prime is 428034396397. The reversal of 428034396384 is 483693430824.

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 428034396384.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 408039892 + ... + 408040940.

It is an arithmetic number, because the mean of its divisors is an integer number (3075728040).

Almost surely, 2^428034396384 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 428034396384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738174729600).

428034396384 is an abundant number, since it is smaller than the sum of its proper divisors (1048315062816).

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

428034396384 is a wasteful number, since it uses less digits than its factorization.

428034396384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 428034396384 in words is "four hundred twenty-eight billion, thirty-four million, three hundred ninety-six thousand, three hundred eighty-four".