428882288824 has 64 divisors (see below), whose sum is σ = 895351708800. Its totient is φ = 190949827200.

The previous prime is 428882288801. The next prime is 428882288869.

428882288824 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1289079 + ... + 1587289.

It is an arithmetic number, because the mean of its divisors is an integer number (13989870450).

Almost surely, 2^428882288824 is an apocalyptic number.

428882288824 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 428882288824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447675854400).

428882288824 is an abundant number, since it is smaller than the sum of its proper divisors (466469419976).

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

428882288824 is a wasteful number, since it uses less digits than its factorization.

428882288824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298564 (or 298560 counting only the distinct ones).

The product of its digits is 67108864, while the sum is 64.

The spelling of 428882288824 in words is "four hundred twenty-eight billion, eight hundred eighty-two million, two hundred eighty-eight thousand, eight hundred twenty-four".