8279428248 has 192 divisors, whose sum is σ = 27799699200. Its totient is φ = 2167637760.

The previous prime is 8279428211. The next prime is 8279428259. The reversal of 8279428248 is 8428249728.

It is a super-2 number, since 2×8279428248² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 8279428194 and 8279428203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 906183 + ... + 915273.

It is an arithmetic number, because the mean of its divisors is an integer number (144790100).

Almost surely, 2^8279428248 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 8279428248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13899849600).

8279428248 is an abundant number, since it is smaller than the sum of its proper divisors (19520270952).

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

8279428248 is a wasteful number, since it uses less digits than its factorization.

8279428248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9262 (or 9255 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The square root of 8279428248 is about 90991.3635901782. The cubic root of 8279428248 is about 2023.0197171187.

The spelling of 8279428248 in words is "eight billion, two hundred seventy-nine million, four hundred twenty-eight thousand, two hundred forty-eight".