10828617 has 8 divisors (see below), whose sum is σ = 14544096. Its totient is φ = 7166112.

The previous prime is 10828549. The next prime is 10828619. The reversal of 10828617 is 71682801.

It is a happy number.

10828617 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10828617 - 2¹⁵ = 10795849 is a prime.

It is a super-3 number, since 3×10828617³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (10828619) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12763 + ... + 13584.

It is an arithmetic number, because the mean of its divisors is an integer number (1818012).

Almost surely, 2^10828617 is an apocalyptic number.

It is an amenable number.

10828617 is a deficient number, since it is larger than the sum of its proper divisors (3715479).

10828617 is a wasteful number, since it uses less digits than its factorization.

10828617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26487.

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 10828617 is about 3290.6864025610. The cubic root of 10828617 is about 221.2369509365.

The spelling of 10828617 in words is "ten million, eight hundred twenty-eight thousand, six hundred seventeen".