216822528 has 288 divisors, whose sum is σ = 732569600. Its totient is φ = 62705664.

The previous prime is 216822497. The next prime is 216822559. The reversal of 216822528 is 825228612.

It is an interprime number because it is at equal distance from previous prime (216822497) and next prime (216822559).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 216822492 and 216822501.

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, 1707201 + ... + 1707327.

Almost surely, 2^216822528 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 216822528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366284800).

216822528 is an abundant number, since it is smaller than the sum of its proper divisors (515747072).

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

216822528 is a wasteful number, since it uses less digits than its factorization.

216822528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 164 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 216822528 is about 14724.8948383342. The cubic root of 216822528 is about 600.7606353157.

The spelling of 216822528 in words is "two hundred sixteen million, eight hundred twenty-two thousand, five hundred twenty-eight".