428469964824 has 96 divisors (see below), whose sum is σ = 1188027846720. Its totient is φ = 127710576000.

The previous prime is 428469964789. The next prime is 428469964831.

428469964824 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 764259 + ... + 1200429.

It is an arithmetic number, because the mean of its divisors is an integer number (12375290070).

Almost surely, 2^428469964824 is an apocalyptic number.

428469964824 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 428469964824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594013923360).

428469964824 is an abundant number, since it is smaller than the sum of its proper divisors (759557881896).

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

428469964824 is a wasteful number, since it uses less digits than its factorization.

428469964824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436313 (or 436248 counting only the distinct ones).

The product of its digits is 191102976, while the sum is 66.

The spelling of 428469964824 in words is "four hundred twenty-eight billion, four hundred sixty-nine million, nine hundred sixty-four thousand, eight hundred twenty-four".