428724364288 has 176 divisors, whose sum is σ = 952501524480. Its totient is φ = 191240806400.

The previous prime is 428724364247. The next prime is 428724364309. The reversal of 428724364288 is 882463427824.

It is a tau number, because it is divible by the number of its divisors (176).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191137695 + ... + 191139937.

It is an arithmetic number, because the mean of its divisors is an integer number (5411940480).

Almost surely, 2^428724364288 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 428724364288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476250762240).

428724364288 is an abundant number, since it is smaller than the sum of its proper divisors (523777160192).

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

428724364288 is a wasteful number, since it uses less digits than its factorization.

428724364288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2584 (or 2566 counting only the distinct ones).

The product of its digits is 33030144, while the sum is 58.

The spelling of 428724364288 in words is "four hundred twenty-eight billion, seven hundred twenty-four million, three hundred sixty-four thousand, two hundred eighty-eight".