431666928 has 320 divisors, whose sum is σ = 1628467200. Its totient is φ = 106064640.

The previous prime is 431666891. The next prime is 431666929. The reversal of 431666928 is 829666134.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431666929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 631675 + ... + 632357.

It is an arithmetic number, because the mean of its divisors is an integer number (5088960).

Almost surely, 2^431666928 is an apocalyptic number.

431666928 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 431666928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814233600).

431666928 is an abundant number, since it is smaller than the sum of its proper divisors (1196800272).

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

431666928 is a wasteful number, since it uses less digits than its factorization.

431666928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 725 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 431666928 is about 20776.5956787920. The cubic root of 431666928 is about 755.7583001597.

The spelling of 431666928 in words is "four hundred thirty-one million, six hundred sixty-six thousand, nine hundred twenty-eight".