233126128 has 40 divisors (see below), whose sum is σ = 468608400. Its totient is φ = 112218624.

The previous prime is 233126111. The next prime is 233126129. The reversal of 233126128 is 821621332.

It is a junction number, because it is equal to n+sod(n) for n = 233126096 and 233126105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233126129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 263575 + ... + 264457.

It is an arithmetic number, because the mean of its divisors is an integer number (11715210).

Almost surely, 2^233126128 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 233126128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234304200).

233126128 is an abundant number, since it is smaller than the sum of its proper divisors (235482272).

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

233126128 is a wasteful number, since it uses less digits than its factorization.

233126128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489 (or 1483 counting only the distinct ones).

The product of its digits is 3456, while the sum is 28.

The square root of 233126128 is about 15268.4684235191. The cubic root of 233126128 is about 615.4559625675.

The spelling of 233126128 in words is "two hundred thirty-three million, one hundred twenty-six thousand, one hundred twenty-eight".