428913441216 has 448 divisors, whose sum is σ = 1413925340800. Its totient is φ = 126629609472.

The previous prime is 428913441197. The next prime is 428913441221. The reversal of 428913441216 is 612144319824.

428913441216 is a `hidden beast` number, since 4 + 2 + 8 + 91 + 344 + 1 + 216 = 666.

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 63 ways as a sum of consecutive naturals, for example, 60671730 + ... + 60678798.

It is an arithmetic number, because the mean of its divisors is an integer number (3156083350).

Almost surely, 2^428913441216 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 428913441216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706962670400).

428913441216 is an abundant number, since it is smaller than the sum of its proper divisors (985011899584).

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

428913441216 is a wasteful number, since it uses less digits than its factorization.

428913441216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7213 (or 7197 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The spelling of 428913441216 in words is "four hundred twenty-eight billion, nine hundred thirteen million, four hundred forty-one thousand, two hundred sixteen".