232728627669696 has 336 divisors, whose sum is σ = 709230926817504. Its totient is φ = 72711539785728.

The previous prime is 232728627669673. The next prime is 232728627669731. The reversal of 232728627669696 is 696966726827232.

232728627669696 is a `hidden beast` number, since 2 + 3 + 2 + 7 + 286 + 276 + 6 + 9 + 69 + 6 = 666.

232728627669696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×232728627669696² (a number of 30 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14301511416 + ... + 14301527688.

It is an arithmetic number, because the mean of its divisors is an integer number (2110806329814).

Almost surely, 2^{232728627669696} 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 232728627669696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354615463408752).

232728627669696 is an abundant number, since it is smaller than the sum of its proper divisors (476502299147808).

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

232728627669696 is a wasteful number, since it uses less digits than its factorization.

232728627669696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22248 (or 22235 counting only the distinct ones).

The product of its digits is 11851370496, while the sum is 81.

The spelling of 232728627669696 in words is "two hundred thirty-two trillion, seven hundred twenty-eight billion, six hundred twenty-seven million, six hundred sixty-nine thousand, six hundred ninety-six".