826107828 has 72 divisors (see below), whose sum is σ = 2385488448. Its totient is φ = 217870848.

The previous prime is 826107827. The next prime is 826107869. The reversal of 826107828 is 828701628.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 826107828.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (826107827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14901 + ... + 43292.

It is an arithmetic number, because the mean of its divisors is an integer number (33131784).

Almost surely, 2^826107828 is an apocalyptic number.

It is an amenable number.

826107828 is an abundant number, since it is smaller than the sum of its proper divisors (1559380620).

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

826107828 is a wasteful number, since it uses less digits than its factorization.

826107828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58233 (or 58218 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The square root of 826107828 is about 28742.0915731615. The cubic root of 826107828 is about 938.3083457309.

The spelling of 826107828 in words is "eight hundred twenty-six million, one hundred seven thousand, eight hundred twenty-eight".