430987128 has 256 divisors, whose sum is σ = 1371686400. Its totient is φ = 110837760.

The previous prime is 430987093. The next prime is 430987147. The reversal of 430987128 is 821789034.

It is a self number, because there is not a number n which added to its sum of digits gives 430987128.

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, 4842508 + ... + 4842596.

It is an arithmetic number, because the mean of its divisors is an integer number (5358150).

Almost surely, 2^430987128 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 430987128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685843200).

430987128 is an abundant number, since it is smaller than the sum of its proper divisors (940699272).

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

430987128 is a wasteful number, since it uses less digits than its factorization.

430987128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 430987128 is about 20760.2294785005. The cubic root of 430987128 is about 755.3613626200.

The spelling of 430987128 in words is "four hundred thirty million, nine hundred eighty-seven thousand, one hundred twenty-eight".