431365728 has 96 divisors (see below), whose sum is σ = 1163484000. Its totient is φ = 139882496.

The previous prime is 431365679. The next prime is 431365741. The reversal of 431365728 is 827563134.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 757828 + ... + 758396.

It is an arithmetic number, because the mean of its divisors is an integer number (12119625).

Almost surely, 2^431365728 is an apocalyptic number.

431365728 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 431365728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581742000).

431365728 is an abundant number, since it is smaller than the sum of its proper divisors (732118272).

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

431365728 is a wasteful number, since it uses less digits than its factorization.

431365728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 776 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 431365728 is about 20769.3458731853. The cubic root of 431365728 is about 755.5824799069.

The spelling of 431365728 in words is "four hundred thirty-one million, three hundred sixty-five thousand, seven hundred twenty-eight".