210304128 has 64 divisors (see below), whose sum is σ = 561057120. Its totient is φ = 69795840.

The previous prime is 210304117. The next prime is 210304147. The reversal of 210304128 is 821403012.

210304128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97623 + ... + 99753.

Almost surely, 2^210304128 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 210304128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280528560).

210304128 is an abundant number, since it is smaller than the sum of its proper divisors (350752992).

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

210304128 is a wasteful number, since it uses less digits than its factorization.

210304128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2405 (or 2393 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 210304128 is about 14501.8663626445. The cubic root of 210304128 is about 594.6789954567.

The spelling of 210304128 in words is "two hundred ten million, three hundred four thousand, one hundred twenty-eight".