218006628 has 48 divisors (see below), whose sum is σ = 582072960. Its totient is φ = 62210304.

The previous prime is 218006617. The next prime is 218006629. The reversal of 218006628 is 826600812.

218006628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (218006629) 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, 134350 + ... + 135962.

It is an arithmetic number, because the mean of its divisors is an integer number (12126520).

Almost surely, 2^218006628 is an apocalyptic number.

218006628 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

218006628 is an abundant number, since it is smaller than the sum of its proper divisors (364066332).

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

218006628 is a wasteful number, since it uses less digits than its factorization.

218006628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3236 (or 3234 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 218006628 is about 14765.0475109293. The cubic root of 218006628 is about 601.8522648628.

The spelling of 218006628 in words is "two hundred eighteen million, six thousand, six hundred twenty-eight".