826727628 has 48 divisors (see below), whose sum is σ = 1962739296. Its totient is φ = 270789120.

The previous prime is 826727609. The next prime is 826727669.

It is a happy number.

826727628 is nontrivially palindromic in base 10.

826727628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 255058 + ... + 258278.

It is an arithmetic number, because the mean of its divisors is an integer number (40890402).

Almost surely, 2^826727628 is an apocalyptic number.

It is an amenable number.

826727628 is an abundant number, since it is smaller than the sum of its proper divisors (1136011668).

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

826727628 is a wasteful number, since it uses less digits than its factorization.

826727628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3594 (or 3592 counting only the distinct ones).

The product of its digits is 903168, while the sum is 48.

The square root of 826727628 is about 28752.8716478894. The cubic root of 826727628 is about 938.5429471196.

The spelling of 826727628 in words is "eight hundred twenty-six million, seven hundred twenty-seven thousand, six hundred twenty-eight".