431428896 has 192 divisors, whose sum is σ = 1358985600. Its totient is φ = 132710400.

The previous prime is 431428861. The next prime is 431428903. The reversal of 431428896 is 698824134.

It is a happy number.

It is a super-2 number, since 2×431428896² = 372261784607557632, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

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 31 ways as a sum of consecutive naturals, for example, 672736 + ... + 673376.

It is an arithmetic number, because the mean of its divisors is an integer number (7078050).

Almost surely, 2^431428896 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 431428896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679492800).

431428896 is an abundant number, since it is smaller than the sum of its proper divisors (927556704).

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

431428896 is a wasteful number, since it uses less digits than its factorization.

431428896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 706 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 431428896 is about 20770.8665202008. The cubic root of 431428896 is about 755.6193599072.

The spelling of 431428896 in words is "four hundred thirty-one million, four hundred twenty-eight thousand, eight hundred ninety-six".