10506828 has 24 divisors (see below), whose sum is σ = 24761520. Its totient is φ = 3467200.

The previous prime is 10506767. The next prime is 10506841. The reversal of 10506828 is 82860501.

It is a super-2 number, since 2×10506828² = 220786869243168, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10506795 and 10506804.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3123 + ... + 5546.

It is an arithmetic number, because the mean of its divisors is an integer number (1031730).

Almost surely, 2^10506828 is an apocalyptic number.

It is an amenable number.

10506828 is an abundant number, since it is smaller than the sum of its proper divisors (14254692).

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

10506828 is a wasteful number, since it uses less digits than its factorization.

10506828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8777 (or 8775 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 10506828 is about 3241.4237612506. The cubic root of 10506828 is about 219.0234123549.

It can be divided in two parts, 10506 and 828, that multiplied together give a palindrome (8698968).

The spelling of 10506828 in words is "ten million, five hundred six thousand, eight hundred twenty-eight".