233386728 has 64 divisors (see below), whose sum is σ = 623424000. Its totient is φ = 72591552.

The previous prime is 233386721. The next prime is 233386739. The reversal of 233386728 is 827683332.

It is a Cunningham number, because it is equal to 15277²-1.

It is a self number, because there is not a number n which added to its sum of digits gives 233386728.

It is not an unprimeable number, because it can be changed into a prime (233386721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26733 + ... + 34371.

It is an arithmetic number, because the mean of its divisors is an integer number (9741000).

Almost surely, 2^233386728 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 233386728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311712000).

233386728 is an abundant number, since it is smaller than the sum of its proper divisors (390037272).

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

233386728 is a wasteful number, since it uses less digits than its factorization.

233386728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7734 (or 7730 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The square root of 233386728 is about 15276.9999672711. Note that the first 4 decimals coincide. The cubic root of 233386728 is about 615.6852062808.

The spelling of 233386728 in words is "two hundred thirty-three million, three hundred eighty-six thousand, seven hundred twenty-eight".