10217628 has 36 divisors (see below), whose sum is σ = 26721240. Its totient is φ = 3288096.

The previous prime is 10217609. The next prime is 10217633. The reversal of 10217628 is 82671201.

10217628 is a `hidden beast` number, since 10 + 21 + 7 + 628 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3850 + ... + 5937.

Almost surely, 2^10217628 is an apocalyptic number.

10217628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10217628 is an abundant number, since it is smaller than the sum of its proper divisors (16503612).

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

10217628 is a wasteful number, since it uses less digits than its factorization.

10217628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9826 (or 9821 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 10217628 is about 3196.5024636311. The cubic root of 10217628 is about 216.9951509177.

Adding to 10217628 its reverse (82671201), we get a palindrome (92888829).

It can be divided in two parts, 1021 and 7628, that added together give a square (8649 = 93²).

The spelling of 10217628 in words is "ten million, two hundred seventeen thousand, six hundred twenty-eight".