218025728 has 72 divisors (see below), whose sum is σ = 456024576. Its totient is φ = 103910400.

The previous prime is 218025713. The next prime is 218025751. The reversal of 218025728 is 827520812.

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, 658523 + ... + 658853.

Almost surely, 2^218025728 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 218025728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228012288).

218025728 is an abundant number, since it is smaller than the sum of its proper divisors (237998848).

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

218025728 is an equidigital number, since it uses as much as digits as its factorization.

218025728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 35.

The square root of 218025728 is about 14765.6942945464. The cubic root of 218025728 is about 601.8698408462.

The spelling of 218025728 in words is "two hundred eighteen million, twenty-five thousand, seven hundred twenty-eight".