217628000 has 96 divisors (see below), whose sum is σ = 548166528. Its totient is φ = 84864000.

The previous prime is 217627997. The next prime is 217628003. The reversal of 217628000 is 826712.

It is an interprime number because it is at equal distance from previous prime (217627997) and next prime (217628003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217628003) 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, 163337 + ... + 164663.

It is an arithmetic number, because the mean of its divisors is an integer number (5710068).

Almost surely, 2^217628000 is an apocalyptic number.

217628000 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 217628000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274083264).

217628000 is an abundant number, since it is smaller than the sum of its proper divisors (330538528).

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

217628000 is a wasteful number, since it uses less digits than its factorization.

217628000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 217628000 is about 14752.2201718928. The cubic root of 217628000 is about 601.5036360573.

The spelling of 217628000 in words is "two hundred seventeen million, six hundred twenty-eight thousand".