10217328 has 80 divisors (see below), whose sum is σ = 29629056. Its totient is φ = 3006720.

The previous prime is 10217327. The next prime is 10217351. The reversal of 10217328 is 82371201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10217298 and 10217307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10217327) 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, 19275 + ... + 19797.

Almost surely, 2^10217328 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 10217328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14814528).

10217328 is an abundant number, since it is smaller than the sum of its proper divisors (19411728).

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

10217328 is a wasteful number, since it uses less digits than its factorization.

10217328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 10217328 is about 3196.4555369972. The cubic root of 10217328 is about 216.9930271638.

Adding to 10217328 its reverse (82371201), we get a palindrome (92588529).

It can be divided in two parts, 102173 and 28, that added together give a palindrome (102201).

The spelling of 10217328 in words is "ten million, two hundred seventeen thousand, three hundred twenty-eight".