233260128 has 96 divisors (see below), whose sum is σ = 720407520. Its totient is φ = 73175040.

The previous prime is 233260123. The next prime is 233260133. The reversal of 233260128 is 821062332.

233260128 is a `hidden beast` number, since 2 + 3 + 32 + 601 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (233260123) and next prime (233260133).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233260121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6748 + ... + 22628.

It is an arithmetic number, because the mean of its divisors is an integer number (7504245).

Almost surely, 2^233260128 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 233260128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360203760).

233260128 is an abundant number, since it is smaller than the sum of its proper divisors (487147392).

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

233260128 is a wasteful number, since it uses less digits than its factorization.

233260128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15917 (or 15903 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 233260128 is about 15272.8559215361. The cubic root of 233260128 is about 615.5738605531.

The spelling of 233260128 in words is "two hundred thirty-three million, two hundred sixty thousand, one hundred twenty-eight".