208333128 has 32 divisors (see below), whose sum is σ = 525448800. Its totient is φ = 68828928.

The previous prime is 208333049. The next prime is 208333133. The reversal of 208333128 is 821333802.

208333128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 208333095 and 208333104.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 35698 + ... + 41121.

It is an arithmetic number, because the mean of its divisors is an integer number (16420275).

Almost surely, 2^208333128 is an apocalyptic number.

It is an amenable number.

208333128 is an abundant number, since it is smaller than the sum of its proper divisors (317115672).

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

208333128 is a wasteful number, since it uses less digits than its factorization.

208333128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76941 (or 76937 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 208333128 is about 14433.7496167836. The cubic root of 208333128 is about 592.8153559886.

It can be divided in two parts, 208 and 333128, that added together give a triangular number (333336 = T₈₁₆).

The spelling of 208333128 in words is "two hundred eight million, three hundred thirty-three thousand, one hundred twenty-eight".