10286928 has 30 divisors (see below), whose sum is σ = 28789514. Its totient is φ = 3428928.

The previous prime is 10286897. The next prime is 10286953. The reversal of 10286928 is 82968201.

It can be written as a sum of positive squares in only one way, i.e., 9659664 + 627264 = 3108^2 + 792^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10286892 and 10286901.

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 5 ways as a sum of consecutive naturals, for example, 35575 + ... + 35862.

Almost surely, 2^10286928 is an apocalyptic number.

10286928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10286928 is an abundant number, since it is smaller than the sum of its proper divisors (18502586).

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

10286928 is a wasteful number, since it uses less digits than its factorization.

10286928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71451 (or 71442 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 10286928 is about 3207.3241183267. The cubic root of 10286928 is about 217.4846283231.

The spelling of 10286928 in words is "ten million, two hundred eighty-six thousand, nine hundred twenty-eight".