232728604416 has 648 divisors, whose sum is σ = 870343964672. Its totient is φ = 58483814400.

The previous prime is 232728604291. The next prime is 232728604417. The reversal of 232728604416 is 614406827232.

It is a happy number.

232728604416 is a `hidden beast` number, since 2 + 3 + 2 + 7 + 28 + 604 + 4 + 16 = 666.

232728604416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232728604417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 60494205 + ... + 60498051.

Almost surely, 2^232728604416 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 232728604416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435171982336).

232728604416 is an abundant number, since it is smaller than the sum of its proper divisors (637615360256).

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

232728604416 is a wasteful number, since it uses less digits than its factorization.

232728604416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3929 (or 3901 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 232728604416 in words is "two hundred thirty-two billion, seven hundred twenty-eight million, six hundred four thousand, four hundred sixteen".