826582128 has 80 divisors (see below), whose sum is σ = 2223131520. Its totient is φ = 264321792.

The previous prime is 826582123. The next prime is 826582129. The reversal of 826582128 is 821285628.

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

Its product of digits (122880) is a multiple of the sum of its prime divisors (3840).

It is a self number, because there is not a number n which added to its sum of digits gives 826582128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (826582123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225075 + ... + 228717.

It is an arithmetic number, because the mean of its divisors is an integer number (27789144).

Almost surely, 2^826582128 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 826582128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111565760).

826582128 is an abundant number, since it is smaller than the sum of its proper divisors (1396549392).

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

826582128 is a wasteful number, since it uses less digits than its factorization.

826582128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3846 (or 3840 counting only the distinct ones).

The product of its digits is 122880, while the sum is 42.

The square root of 826582128 is about 28750.3413544953. The cubic root of 826582128 is about 938.4878842403.

The spelling of 826582128 in words is "eight hundred twenty-six million, five hundred eighty-two thousand, one hundred twenty-eight".