428188881824 has 96 divisors (see below), whose sum is σ = 974548895040. Its totient is φ = 183336294400.

The previous prime is 428188881817. The next prime is 428188881829.

428188881824 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (428188881829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93014 + ... + 930069.

It is an arithmetic number, because the mean of its divisors is an integer number (10151550990).

Almost surely, 2^428188881824 is an apocalyptic number.

428188881824 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

428188881824 is an abundant number, since it is smaller than the sum of its proper divisors (546360013216).

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

428188881824 is a wasteful number, since it uses less digits than its factorization.

428188881824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023174 (or 1023166 counting only the distinct ones).

The product of its digits is 16777216, while the sum is 62.

The spelling of 428188881824 in words is "four hundred twenty-eight billion, one hundred eighty-eight million, eight hundred eighty-one thousand, eight hundred twenty-four".