8628152832 has 320 divisors, whose sum is σ = 28199445120. Its totient is φ = 2587852800.

The previous prime is 8628152807. The next prime is 8628152921. The reversal of 8628152832 is 2382518268.

8628152832 is a `hidden beast` number, since 8 + 628 + 15 + 2 + 8 + 3 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7367607 + ... + 7368777.

It is an arithmetic number, because the mean of its divisors is an integer number (88123266).

Almost surely, 2^8628152832 is an apocalyptic number.

8628152832 is a gapful number since it is divisible by the number (82) 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 8628152832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14099722560).

8628152832 is an abundant number, since it is smaller than the sum of its proper divisors (19571292288).

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

8628152832 is a wasteful number, since it uses less digits than its factorization.

8628152832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1230 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 8628152832 is about 92887.8508309887. The cubic root of 8628152832 is about 2051.0328194008.

The spelling of 8628152832 in words is "eight billion, six hundred twenty-eight million, one hundred fifty-two thousand, eight hundred thirty-two".