428259987456 has 832 divisors, whose sum is σ = 1453148928000. Its totient is φ = 111674916864.

The previous prime is 428259987383. The next prime is 428259987523. The reversal of 428259987456 is 654789952824.

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, 3081007035 + ... + 3081007173.

Almost surely, 2^428259987456 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 428259987456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726574464000).

428259987456 is an abundant number, since it is smaller than the sum of its proper divisors (1024888940544).

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

428259987456 is a wasteful number, since it uses less digits than its factorization.

428259987456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 211 counting only the distinct ones).

The product of its digits is 348364800, while the sum is 69.

The spelling of 428259987456 in words is "four hundred twenty-eight billion, two hundred fifty-nine million, nine hundred eighty-seven thousand, four hundred fifty-six".