431728320 has 224 divisors, whose sum is σ = 1439631360. Its totient is φ = 109486080.

The previous prime is 431728291. The next prime is 431728337. The reversal of 431728320 is 23827134.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2648559 + ... + 2648721.

Almost surely, 2^431728320 is an apocalyptic number.

431728320 is a gapful number since it is divisible by the number (40) 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 431728320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719815680).

431728320 is an abundant number, since it is smaller than the sum of its proper divisors (1007903040).

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

431728320 is a wasteful number, since it uses less digits than its factorization.

431728320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 431728320 is about 20778.0730579137. The cubic root of 431728320 is about 755.7941266355.

The spelling of 431728320 in words is "four hundred thirty-one million, seven hundred twenty-eight thousand, three hundred twenty".