217103328 has 240 divisors, whose sum is σ = 729978480. Its totient is φ = 62705664.

The previous prime is 217103273. The next prime is 217103347. The reversal of 217103328 is 823301712.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 572643 + ... + 573021.

It is an arithmetic number, because the mean of its divisors is an integer number (3041577).

Almost surely, 2^217103328 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 217103328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364989240).

217103328 is an abundant number, since it is smaller than the sum of its proper divisors (512875152).

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

217103328 is a wasteful number, since it uses less digits than its factorization.

217103328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 217103328 is about 14734.4266261026. The cubic root of 217103328 is about 601.0198654751.

The spelling of 217103328 in words is "two hundred seventeen million, one hundred three thousand, three hundred twenty-eight".