216009288 has 128 divisors (see below), whose sum is σ = 659088000. Its totient is φ = 65007360.

The previous prime is 216009257. The next prime is 216009301. The reversal of 216009288 is 882900612.

216009288 is a `hidden beast` number, since 21 + 600 + 9 + 28 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 543906 + ... + 544302.

It is an arithmetic number, because the mean of its divisors is an integer number (5149125).

Almost surely, 2^216009288 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 216009288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329544000).

216009288 is an abundant number, since it is smaller than the sum of its proper divisors (443078712).

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

216009288 is a wasteful number, since it uses less digits than its factorization.

216009288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 216009288 is about 14697.2544374791. The cubic root of 216009288 is about 600.0085998767.

The spelling of 216009288 in words is "two hundred sixteen million, nine thousand, two hundred eighty-eight".