216628344 has 80 divisors (see below), whose sum is σ = 612526200. Its totient is φ = 71523648.

The previous prime is 216628343. The next prime is 216628381. The reversal of 216628344 is 443826612.

216628344 is a `hidden beast` number, since 21 + 6 + 628 + 3 + 4 + 4 = 666.

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 = 216628299 and 216628308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216628343) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 69099 + ... + 72165.

Almost surely, 2^216628344 is an apocalyptic number.

216628344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216628344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306263100).

216628344 is an abundant number, since it is smaller than the sum of its proper divisors (395897856).

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

216628344 is a wasteful number, since it uses less digits than its factorization.

216628344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3194 (or 3181 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 216628344 is about 14718.2996300524. The cubic root of 216628344 is about 600.5812367579.

The spelling of 216628344 in words is "two hundred sixteen million, six hundred twenty-eight thousand, three hundred forty-four".