826565628 has 96 divisors (see below), whose sum is σ = 2314238976. Its totient is φ = 224497152.

The previous prime is 826565611. The next prime is 826565647.

826565628 is nontrivially palindromic in base 10.

826565628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 333000 + ... + 335472.

It is an arithmetic number, because the mean of its divisors is an integer number (24106656).

Almost surely, 2^826565628 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 826565628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157119488).

826565628 is an abundant number, since it is smaller than the sum of its proper divisors (1487673348).

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

826565628 is a wasteful number, since it uses less digits than its factorization.

826565628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2683 (or 2681 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 48.

The square root of 826565628 is about 28750.0543999485. The cubic root of 826565628 is about 938.4816395883.

The spelling of 826565628 in words is "eight hundred twenty-six million, five hundred sixty-five thousand, six hundred twenty-eight".