428384483824 has 80 divisors (see below), whose sum is σ = 911160432000. Its totient is φ = 193493664000.

The previous prime is 428384483783. The next prime is 428384483831.

428384483824 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47747659 + ... + 47756629.

It is an arithmetic number, because the mean of its divisors is an integer number (11389505400).

Almost surely, 2^428384483824 is an apocalyptic number.

428384483824 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 428384483824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455580216000).

428384483824 is an abundant number, since it is smaller than the sum of its proper divisors (482775948176).

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

428384483824 is a wasteful number, since it uses less digits than its factorization.

428384483824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10670 (or 10664 counting only the distinct ones).

The product of its digits is 37748736, while the sum is 58.

The spelling of 428384483824 in words is "four hundred twenty-eight billion, three hundred eighty-four million, four hundred eighty-three thousand, eight hundred twenty-four".