8278216128 has 168 divisors, whose sum is σ = 29203891808. Its totient is φ = 2183251968.

The previous prime is 8278216117. The next prime is 8278216139. The reversal of 8278216128 is 8216128728.

It is a happy number.

8278216128 is a `hidden beast` number, since 8 + 2 + 7 + 8 + 21 + 612 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (8278216117) and next prime (8278216139).

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26551 + ... + 131382.

Almost surely, 2^8278216128 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 8278216128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14601945904).

8278216128 is an abundant number, since it is smaller than the sum of its proper divisors (20925675680).

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

8278216128 is a wasteful number, since it uses less digits than its factorization.

8278216128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157971 (or 157958 counting only the distinct ones).

The product of its digits is 172032, while the sum is 45.

The square root of 8278216128 is about 90984.7027142475. The cubic root of 8278216128 is about 2022.9209879850.

The spelling of 8278216128 in words is "eight billion, two hundred seventy-eight million, two hundred sixteen thousand, one hundred twenty-eight".