8628607000 has 128 divisors (see below), whose sum is σ = 21813442560. Its totient is φ = 3175795200.

The previous prime is 8628606979. The next prime is 8628607033. The reversal of 8628607000 is 7068268.

It is a congruent number.

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, 4978134 + ... + 4979866.

It is an arithmetic number, because the mean of its divisors is an integer number (170417520).

Almost surely, 2^8628607000 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 8628607000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10906721280).

8628607000 is an abundant number, since it is smaller than the sum of its proper divisors (13184835560).

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

8628607000 is a wasteful number, since it uses less digits than its factorization.

8628607000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2150 (or 2136 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 8628607000 is about 92890.2955103492. The cubic root of 8628607000 is about 2051.0688061351.

The spelling of 8628607000 in words is "eight billion, six hundred twenty-eight million, six hundred seven thousand".