431303328 has 72 divisors (see below), whose sum is σ = 1298681748. Its totient is φ = 135309312.

The previous prime is 431303281. The next prime is 431303351. The reversal of 431303328 is 823303134.

431303328 is a `hidden beast` number, since 4 + 31 + 303 + 328 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 416649744 + 14653584 = 20412^2 + 3828^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39151 + ... + 48942.

Almost surely, 2^431303328 is an apocalyptic number.

431303328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

431303328 is an abundant number, since it is smaller than the sum of its proper divisors (867378420).

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

431303328 is a wasteful number, since it uses less digits than its factorization.

431303328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88126 (or 88115 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 431303328 is about 20767.8436049581. The cubic root of 431303328 is about 755.5460447605.

The spelling of 431303328 in words is "four hundred thirty-one million, three hundred three thousand, three hundred twenty-eight".