431728305696 has 192 divisors, whose sum is σ = 1345515494400. Its totient is φ = 134201069568.

The previous prime is 431728305689. The next prime is 431728305707. The reversal of 431728305696 is 696503827134.

431728305696 is a `hidden beast` number, since 4 + 3 + 1 + 72 + 8 + 3 + 0 + 569 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1466161 + ... + 1735823.

It is an arithmetic number, because the mean of its divisors is an integer number (7007893200).

It is a 1-persistent number, because it is pandigital, but 2⋅431728305696 = 863456611392 is not.

Almost surely, 2^431728305696 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 431728305696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672757747200).

431728305696 is an abundant number, since it is smaller than the sum of its proper divisors (913787188704).

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

431728305696 is a wasteful number, since it uses less digits than its factorization.

431728305696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269808 (or 269794 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 431728305696 in words is "four hundred thirty-one billion, seven hundred twenty-eight million, three hundred five thousand, six hundred ninety-six".