180204288 has 144 divisors (see below), whose sum is σ = 531570816. Its totient is φ = 53739520.

The previous prime is 180204257. The next prime is 180204313. The reversal of 180204288 is 882402081.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 15 ways as a sum of consecutive naturals, for example, 701056 + ... + 701312.

It is an arithmetic number, because the mean of its divisors is an integer number (3691464).

Almost surely, 2^180204288 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 180204288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265785408).

180204288 is an abundant number, since it is smaller than the sum of its proper divisors (351366528).

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

180204288 is a wasteful number, since it uses less digits than its factorization.

180204288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 180204288 is about 13424.0190703083. The cubic root of 180204288 is about 564.8351392027.

The spelling of 180204288 in words is "one hundred eighty million, two hundred four thousand, two hundred eighty-eight".