428744576016 has 30 divisors (see below), whose sum is σ = 1199889334670. Its totient is φ = 142914858624.

The previous prime is 428744576011. The next prime is 428744576047. The reversal of 428744576016 is 610675447824.

428744576016 is a `hidden beast` number, since 4 + 28 + 7 + 4 + 4 + 5 + 7 + 601 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 387655664400 + 41088911616 = 622620^2 + 202704^2 .

It is a super-2 number, since 2×428744576016² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (428744576011) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1488696301 + ... + 1488696588.

Almost surely, 2^428744576016 is an apocalyptic number.

It is an amenable number.

428744576016 is an abundant number, since it is smaller than the sum of its proper divisors (771144758654).

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

428744576016 is a wasteful number, since it uses less digits than its factorization.

428744576016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2977392903 (or 2977392894 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 428744576016 in words is "four hundred twenty-eight billion, seven hundred forty-four million, five hundred seventy-six thousand, sixteen".