431928 has 48 divisors (see below), whose sum is σ = 1338480. Its totient is φ = 123264.

The previous prime is 431911. The next prime is 431929. The reversal of 431928 is 829134.

431928 is nontrivially palindromic in base 11.

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

It is one of the 548 Lynch-Bell numbers.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431929) by changing a digit.

431928 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76 + ... + 932.

It is an arithmetic number, because the mean of its divisors is an integer number (27885).

2⁴³¹⁹²⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669240).

431928 is an abundant number, since it is smaller than the sum of its proper divisors (906552).

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

431928 is a wasteful number, since it uses less digits than its factorization.

431928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 869 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 431928 is about 657.2122944681. The cubic root of 431928 is about 75.5910630235.

The spelling of 431928 in words is "four hundred thirty-one thousand, nine hundred twenty-eight".