431138928 has 80 divisors (see below), whose sum is σ = 1219136256. Its totient is φ = 130206720.

The previous prime is 431138893. The next prime is 431138951. The reversal of 431138928 is 829831134.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 176725 + ... + 179147.

Almost surely, 2^431138928 is an apocalyptic number.

431138928 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 431138928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609568128).

431138928 is an abundant number, since it is smaller than the sum of its proper divisors (787997328).

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

431138928 is a wasteful number, since it uses less digits than its factorization.

431138928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2782 (or 2776 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 431138928 is about 20763.8851855812. The cubic root of 431138928 is about 755.4500353343.

The spelling of 431138928 in words is "four hundred thirty-one million, one hundred thirty-eight thousand, nine hundred twenty-eight".