10826628 has 48 divisors (see below), whose sum is σ = 26671680. Its totient is φ = 3412864.

The previous prime is 10826617. The next prime is 10826633. The reversal of 10826628 is 82662801.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18151 + ... + 18737.

It is an arithmetic number, because the mean of its divisors is an integer number (555660).

Almost surely, 2^10826628 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 10826628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13335840).

10826628 is an abundant number, since it is smaller than the sum of its proper divisors (15845052).

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

10826628 is a wasteful number, since it uses less digits than its factorization.

10826628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 10826628 is about 3290.3841720991. The cubic root of 10826628 is about 221.2234045085.

The spelling of 10826628 in words is "ten million, eight hundred twenty-six thousand, six hundred twenty-eight".