10006928 has 20 divisors (see below), whose sum is σ = 19708188. Its totient is φ = 4920960.

The previous prime is 10006883. The next prime is 10006933. The reversal of 10006928 is 82960001.

It can be written as a sum of positive squares in 2 ways, for example, as 692224 + 9314704 = 832^2 + 3052^2 .

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10006897 and 10006906.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4151 + ... + 6102.

Almost surely, 2^10006928 is an apocalyptic number.

It is an amenable number.

10006928 is a deficient number, since it is larger than the sum of its proper divisors (9701260).

10006928 is a wasteful number, since it uses less digits than its factorization.

10006928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10322 (or 10316 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 10006928 is about 3163.3728834900. The cubic root of 10006928 is about 215.4932105964.

Adding to 10006928 its reverse (82960001), we get a palindrome (92966929).

The spelling of 10006928 in words is "ten million, six thousand, nine hundred twenty-eight".