288216180 has 144 divisors (see below), whose sum is σ = 1016346240. Its totient is φ = 64744704.

The previous prime is 288216169. The next prime is 288216221. The reversal of 288216180 is 81612882.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72402 + ... + 76278.

It is an arithmetic number, because the mean of its divisors is an integer number (7057960).

Almost surely, 2^288216180 is an apocalyptic number.

288216180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288216180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508173120).

288216180 is an abundant number, since it is smaller than the sum of its proper divisors (728130060).

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

288216180 is a wasteful number, since it uses less digits than its factorization.

288216180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3958 (or 3953 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 288216180 is about 16976.9308180248. The cubic root of 288216180 is about 660.5506423960.

The spelling of 288216180 in words is "two hundred eighty-eight million, two hundred sixteen thousand, one hundred eighty".