430128 has 60 divisors (see below), whose sum is σ = 1257360. Its totient is φ = 137088.

The previous prime is 430121. The next prime is 430139. The reversal of 430128 is 821034.

It is a happy number.

430128 is a nontrivial binomial coefficient, being equal to C(928, 2).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 430128.

It is not an unprimeable number, because it can be changed into a prime (430121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4125 + ... + 4227.

It is an arithmetic number, because the mean of its divisors is an integer number (20956).

2⁴³⁰¹²⁸ is an apocalyptic number.

430128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

430128 is the 927-th triangular number and also the 464-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 430128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628680).

430128 is an abundant number, since it is smaller than the sum of its proper divisors (827232).

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

430128 is a wasteful number, since it uses less digits than its factorization.

430128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 430128 is about 655.8414442531. The cubic root of 430128 is about 75.4859117318.

The spelling of 430128 in words is "four hundred thirty thousand, one hundred twenty-eight".