8117826528 has 96 divisors (see below), whose sum is σ = 24376391424. Its totient is φ = 2317197312.

The previous prime is 8117826527. The next prime is 8117826547. The reversal of 8117826528 is 8256287118.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8117826527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 792576 + ... + 802752.

It is an arithmetic number, because the mean of its divisors is an integer number (253920744).

Almost surely, 2^8117826528 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 8117826528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12188195712).

8117826528 is an abundant number, since it is smaller than the sum of its proper divisors (16258564896).

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

8117826528 is a wasteful number, since it uses less digits than its factorization.

8117826528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11384 (or 11376 counting only the distinct ones).

The product of its digits is 430080, while the sum is 48.

The square root of 8117826528 is about 90098.9818366445. The cubic root of 8117826528 is about 2009.7710627597.

The spelling of 8117826528 in words is "eight billion, one hundred seventeen million, eight hundred twenty-six thousand, five hundred twenty-eight".