8628242112 has 168 divisors, whose sum is σ = 28728509472. Its totient is φ = 2424729600.

The previous prime is 8628242041. The next prime is 8628242137. The reversal of 8628242112 is 2112428268.

8628242112 is a `hidden beast` number, since 8 + 628 + 2 + 4 + 21 + 1 + 2 = 666.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

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, 228412 + ... + 263492.

Almost surely, 2^8628242112 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 8628242112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14364254736).

8628242112 is an abundant number, since it is smaller than the sum of its proper divisors (20100267360).

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

8628242112 is a wasteful number, since it uses less digits than its factorization.

8628242112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35167 (or 35154 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 8628242112 is about 92888.3314092787. The cubic root of 8628242112 is about 2051.0398937454.

The spelling of 8628242112 in words is "eight billion, six hundred twenty-eight million, two hundred forty-two thousand, one hundred twelve".