233088289728 has 672 divisors, whose sum is σ = 774825984000. Its totient is φ = 61736048640.

The previous prime is 233088289703. The next prime is 233088289747. The reversal of 233088289728 is 827982880332.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1835340801 + ... + 1835340927.

Almost surely, 2^233088289728 is an apocalyptic number.

233088289728 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233088289728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387412992000).

233088289728 is an abundant number, since it is smaller than the sum of its proper divisors (541737694272).

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

233088289728 is a wasteful number, since it uses less digits than its factorization.

233088289728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 60.

The spelling of 233088289728 in words is "two hundred thirty-three billion, eighty-eight million, two hundred eighty-nine thousand, seven hundred twenty-eight".