8279828640 has 192 divisors, whose sum is σ = 29686849920. Its totient is φ = 2154055680.

The previous prime is 8279828629. The next prime is 8279828651. The reversal of 8279828640 is 468289728.

It is an interprime number because it is at equal distance from previous prime (8279828629) and next prime (8279828651).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153747 + ... + 200493.

It is an arithmetic number, because the mean of its divisors is an integer number (154619010).

Almost surely, 2^8279828640 is an apocalyptic number.

8279828640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8279828640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14843424960).

8279828640 is an abundant number, since it is smaller than the sum of its proper divisors (21407021280).

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

8279828640 is a wasteful number, since it uses less digits than its factorization.

8279828640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46812 (or 46798 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 8279828640 is about 90993.5637284308. The cubic root of 8279828640 is about 2023.0523275772.

The spelling of 8279828640 in words is "eight billion, two hundred seventy-nine million, eight hundred twenty-eight thousand, six hundred forty".