233259949728 has 144 divisors (see below), whose sum is σ = 716644492200. Its totient is φ = 71542628352.

The previous prime is 233259949697. The next prime is 233259949771. The reversal of 233259949728 is 827949952332.

233259949728 is a `hidden beast` number, since 2 + 3 + 32 + 5 + 99 + 497 + 28 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 154552769424 + 78707180304 = 393132^2 + 280548^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1072348 + ... + 1271396.

Almost surely, 2^233259949728 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 233259949728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358322246100).

233259949728 is an abundant number, since it is smaller than the sum of its proper divisors (483384542472).

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

233259949728 is a wasteful number, since it uses less digits than its factorization.

233259949728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199391 (or 199380 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 63.

The spelling of 233259949728 in words is "two hundred thirty-three billion, two hundred fifty-nine million, nine hundred forty-nine thousand, seven hundred twenty-eight".