431603328 has 128 divisors (see below), whose sum is σ = 1274918400. Its totient is φ = 128471040.

The previous prime is 431603311. The next prime is 431603353. The reversal of 431603328 is 823306134.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 431603295 and 431603304.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153358 + ... + 156146.

It is an arithmetic number, because the mean of its divisors is an integer number (9960300).

Almost surely, 2^431603328 is an apocalyptic number.

431603328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431603328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637459200).

431603328 is an abundant number, since it is smaller than the sum of its proper divisors (843315072).

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

431603328 is a wasteful number, since it uses less digits than its factorization.

431603328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2850 (or 2838 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 431603328 is about 20775.0650540498. The cubic root of 431603328 is about 755.7211815809.

The spelling of 431603328 in words is "four hundred thirty-one million, six hundred three thousand, three hundred twenty-eight".