233728418560 has 288 divisors, whose sum is σ = 712819981440. Its totient is φ = 71419428864.

The previous prime is 233728418557. The next prime is 233728418563. The reversal of 233728418560 is 65814827332.

It is an interprime number because it is at equal distance from previous prime (233728418557) and next prime (233728418563).

It is not an unprimeable number, because it can be changed into a prime (233728418563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3343324 + ... + 3412516.

It is an arithmetic number, because the mean of its divisors is an integer number (2475069380).

Almost surely, 2^233728418560 is an apocalyptic number.

233728418560 is a gapful number since it is divisible by the number (20) 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 233728418560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356409990720).

233728418560 is an abundant number, since it is smaller than the sum of its proper divisors (479091562880).

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

233728418560 is a wasteful number, since it uses less digits than its factorization.

233728418560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69263 (or 69249 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 49.

The spelling of 233728418560 in words is "two hundred thirty-three billion, seven hundred twenty-eight million, four hundred eighteen thousand, five hundred sixty".