432686204812728 has 528 divisors, whose sum is σ = 1261509721227000. Its totient is φ = 139125301660800.

The previous prime is 432686204812721. The next prime is 432686204812733. The reversal of 432686204812728 is 827218402686234.

432686204812728 is a `hidden beast` number, since 4 + 3 + 2 + 6 + 86 + 2 + 0 + 481 + 2 + 72 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432686204812721) by changing a digit.

It is a polite number, since it can be written in 131 ways as a sum of consecutive naturals, for example, 158435079123 + ... + 158435081853.

Almost surely, 2^{432686204812728} 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 432686204812728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630754860613500).

432686204812728 is an abundant number, since it is smaller than the sum of its proper divisors (828823516414272).

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

432686204812728 is an equidigital number, since it uses as much as digits as its factorization.

432686204812728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3178 (or 3116 counting only the distinct ones).

The product of its (nonzero) digits is 99090432, while the sum is 63.

The spelling of 432686204812728 in words is "four hundred thirty-two trillion, six hundred eighty-six billion, two hundred four million, eight hundred twelve thousand, seven hundred twenty-eight".