216916128 has 288 divisors, whose sum is σ = 759507840. Its totient is φ = 57784320.

The previous prime is 216916099. The next prime is 216916129. The reversal of 216916128 is 821619612.

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 nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 216916092 and 216916101.

It is not an unprimeable number, because it can be changed into a prime (216916129) 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 47 ways as a sum of consecutive naturals, for example, 947118 + ... + 947346.

It is an arithmetic number, because the mean of its divisors is an integer number (2637180).

Almost surely, 2^216916128 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 216916128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379753920).

216916128 is an abundant number, since it is smaller than the sum of its proper divisors (542591712).

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

216916128 is a wasteful number, since it uses less digits than its factorization.

216916128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 281 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 216916128 is about 14728.0727863492. The cubic root of 216916128 is about 600.8470702240.

The spelling of 216916128 in words is "two hundred sixteen million, nine hundred sixteen thousand, one hundred twenty-eight".