216017028 has 72 divisors (see below), whose sum is σ = 592333560. Its totient is φ = 66109440.

The previous prime is 216016991. The next prime is 216017033. The reversal of 216017028 is 820710612.

It can be written as a sum of positive squares in 4 ways, for example, as 3090564 + 212926464 = 1758^2 + 14592^2 .

It is a junction number, because it is equal to n+sod(n) for n = 216016992 and 216017010.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20788 + ... + 29396.

It is an arithmetic number, because the mean of its divisors is an integer number (8226855).

Almost surely, 2^216017028 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 216017028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296166780).

216017028 is an abundant number, since it is smaller than the sum of its proper divisors (376316532).

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

216017028 is a wasteful number, since it uses less digits than its factorization.

216017028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8677 (or 8672 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 216017028 is about 14697.5177496066. The cubic root of 216017028 is about 600.0157662524.

The spelling of 216017028 in words is "two hundred sixteen million, seventeen thousand, twenty-eight".