217728000 has 528 divisors, whose sum is σ = 929894784. Its totient is φ = 49766400.

The previous prime is 217727953. The next prime is 217728001. The reversal of 217728000 is 827712.

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

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (217728001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31103997 + ... + 31104003.

Almost surely, 2^217728000 is an apocalyptic number.

217728000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 217728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464947392).

217728000 is an abundant number, since it is smaller than the sum of its proper divisors (712166784).

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

217728000 is an frugal number, since it uses more digits than its factorization.

217728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 217728000 is about 14755.6091029818. The cubic root of 217728000 is about 601.5957521958.

The spelling of 217728000 in words is "two hundred seventeen million, seven hundred twenty-eight thousand".