10856628 has 36 divisors (see below), whose sum is σ = 27734980. Its totient is φ = 3580416.

The previous prime is 10856627. The next prime is 10856639. The reversal of 10856628 is 82665801.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3305124 + 7551504 = 1818^2 + 2748^2 .

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

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 = 10856592 and 10856601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10856627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1938 + ... + 5046.

Almost surely, 2^10856628 is an apocalyptic number.

10856628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10856628 is an abundant number, since it is smaller than the sum of its proper divisors (16878352).

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

10856628 is a wasteful number, since it uses less digits than its factorization.

10856628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3216 (or 3211 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 10856628 is about 3294.9397566572. The cubic root of 10856628 is about 221.4275487590.

The spelling of 10856628 in words is "ten million, eight hundred fifty-six thousand, six hundred twenty-eight".