10456628 has 48 divisors (see below), whose sum is σ = 23520000. Its totient is φ = 3953664.

The previous prime is 10456627. The next prime is 10456637. The reversal of 10456628 is 82665401.

It is a junction number, because it is equal to n+sod(n) for n = 10456594 and 10456603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10456627) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7748 + ... + 8996.

It is an arithmetic number, because the mean of its divisors is an integer number (490000).

Almost surely, 2^10456628 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 10456628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11760000).

10456628 is an abundant number, since it is smaller than the sum of its proper divisors (13063372).

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

10456628 is a wasteful number, since it uses less digits than its factorization.

10456628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 10456628 is about 3233.6709789340. The cubic root of 10456628 is about 218.6740353373.

The spelling of 10456628 in words is "ten million, four hundred fifty-six thousand, six hundred twenty-eight".