233628 has 12 divisors (see below), whose sum is σ = 545160. Its totient is φ = 77872.

The previous prime is 233621. The next prime is 233641. The reversal of 233628 is 826332.

It is a tau number, because it is divible by the number of its divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 233598 and 233607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233621) by changing a digit.

233628 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9723 + ... + 9746.

It is an arithmetic number, because the mean of its divisors is an integer number (45430).

2²³³⁶²⁸ is an apocalyptic number.

It is an amenable number.

233628 is an abundant number, since it is smaller than the sum of its proper divisors (311532).

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

233628 is a wasteful number, since it uses less digits than its factorization.

233628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19476 (or 19474 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 233628 is about 483.3508042819. The cubic root of 233628 is about 61.5897295521.

Subtracting 233628 from its reverse (826332), we obtain a cube (592704 = 84³).

It can be divided in two parts, 233 and 628, that added together give a triangular number (861 = T₄₁).

The spelling of 233628 in words is "two hundred thirty-three thousand, six hundred twenty-eight".