216846828 has 96 divisors (see below), whose sum is σ = 617541120. Its totient is φ = 65257920.

The previous prime is 216846823. The next prime is 216846859. The reversal of 216846828 is 828648612.

216846828 is a `hidden beast` number, since 2 + 168 + 468 + 28 = 666.

It is not an unprimeable number, because it can be changed into a prime (216846823) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197850 + ... + 198942.

It is an arithmetic number, because the mean of its divisors is an integer number (6432720).

Almost surely, 2^216846828 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 216846828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308770560).

216846828 is an abundant number, since it is smaller than the sum of its proper divisors (400694292).

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

216846828 is a wasteful number, since it uses less digits than its factorization.

216846828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284 (or 1276 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 216846828 is about 14725.7199484439. The cubic root of 216846828 is about 600.7830775380.

The spelling of 216846828 in words is "two hundred sixteen million, eight hundred forty-six thousand, eight hundred twenty-eight".