218896128 has 144 divisors (see below), whose sum is σ = 706406400. Its totient is φ = 66309120.

The previous prime is 218896127. The next prime is 218896159. The reversal of 218896128 is 821698812.

It is a happy number.

218896128 is a `hidden beast` number, since 21 + 8 + 8 + 9 + 612 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218896127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74593 + ... + 77471.

It is an arithmetic number, because the mean of its divisors is an integer number (4905600).

Almost surely, 2^218896128 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 218896128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353203200).

218896128 is an abundant number, since it is smaller than the sum of its proper divisors (487510272).

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

218896128 is a wasteful number, since it uses less digits than its factorization.

218896128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2915 (or 2895 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The square root of 218896128 is about 14795.1386610603. The cubic root of 218896128 is about 602.6697035202.

It can be divided in two parts, 218896 and 128, that added together give a square (219024 = 468²).

The spelling of 218896128 in words is "two hundred eighteen million, eight hundred ninety-six thousand, one hundred twenty-eight".