430728 has 32 divisors (see below), whose sum is σ = 1092960. Its totient is φ = 141440.

The previous prime is 430723. The next prime is 430739. The reversal of 430728 is 827034.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 430698 and 430707.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 430728.

It is not an unprimeable number, because it can be changed into a prime (430723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3076 + ... + 3212.

It is an arithmetic number, because the mean of its divisors is an integer number (34155).

2⁴³⁰⁷²⁸ is an apocalyptic number.

It is an amenable number.

430728 is an abundant number, since it is smaller than the sum of its proper divisors (662232).

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

430728 is a wasteful number, since it uses less digits than its factorization.

430728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 430728 is about 656.2987124778. The cubic root of 430728 is about 75.5209947023.

The spelling of 430728 in words is "four hundred thirty thousand, seven hundred twenty-eight".