218422528 has 72 divisors (see below), whose sum is σ = 476824320. Its totient is φ = 99409920.

The previous prime is 218422447. The next prime is 218422571. The reversal of 218422528 is 825224812.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 218422493 and 218422502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134103 + ... + 135721.

It is an arithmetic number, because the mean of its divisors is an integer number (6622560).

Almost surely, 2^218422528 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 218422528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238412160).

218422528 is an abundant number, since it is smaller than the sum of its proper divisors (258401792).

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

218422528 is a wasteful number, since it uses less digits than its factorization.

218422528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1683 (or 1669 counting only the distinct ones).

The product of its digits is 20480, while the sum is 34.

The square root of 218422528 is about 14779.1247372772. The cubic root of 218422528 is about 602.2347476525.

The spelling of 218422528 in words is "two hundred eighteen million, four hundred twenty-two thousand, five hundred twenty-eight".