10461828 has 48 divisors (see below), whose sum is σ = 26499200. Its totient is φ = 3193344.

The previous prime is 10461827. The next prime is 10461833. The reversal of 10461828 is 82816401.

It is a junction number, because it is equal to n+sod(n) for n = 10461795 and 10461804.

It is not an unprimeable number, because it can be changed into a prime (10461823) 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 15 ways as a sum of consecutive naturals, for example, 30876 + ... + 31212.

Almost surely, 2^10461828 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10461828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13249600).

10461828 is an abundant number, since it is smaller than the sum of its proper divisors (16037372).

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

10461828 is a wasteful number, since it uses less digits than its factorization.

10461828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 10461828 is about 3234.4749187465. The cubic root of 10461828 is about 218.7102776309.

Subtracting from 10461828 its product of nonzero digits (3072), we obtain a square (10458756 = 3234²).

The spelling of 10461828 in words is "ten million, four hundred sixty-one thousand, eight hundred twenty-eight".