209628288 has 96 divisors (see below), whose sum is σ = 606300240. Its totient is φ = 69520896.

The previous prime is 209628283. The next prime is 209628299. The reversal of 209628288 is 882826902.

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

It is not an unprimeable number, because it can be changed into a prime (209628283) 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 11 ways as a sum of consecutive naturals, for example, 325695 + ... + 326337.

Almost surely, 2^209628288 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 209628288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303150120).

209628288 is an abundant number, since it is smaller than the sum of its proper divisors (396671952).

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

209628288 is a wasteful number, since it uses less digits than its factorization.

209628288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 209628288 is about 14478.5457833306. The cubic root of 209628288 is about 594.0412854343.

The spelling of 209628288 in words is "two hundred nine million, six hundred twenty-eight thousand, two hundred eighty-eight".