8628633000 has 768 divisors, whose sum is σ = 33983539200. Its totient is φ = 2021760000.

The previous prime is 8628632993. The next prime is 8628633007. The reversal of 8628633000 is 3368268.

It is an interprime number because it is at equal distance from previous prime (8628632993) and next prime (8628633007).

It is a harmonic number, since the harmonic mean of its divisors is an integer.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8628633007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 141452970 + ... + 141453030.

It is an arithmetic number, because the mean of its divisors is an integer number (44249400).

Almost surely, 2^8628633000 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 8628633000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16991769600).

8628633000 is an abundant number, since it is smaller than the sum of its proper divisors (25354906200).

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

8628633000 is a wasteful number, since it uses less digits than its factorization.

8628633000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 8628633000 is about 92890.4354602776. The cubic root of 8628633000 is about 2051.0708662488.

The spelling of 8628633000 in words is "eight billion, six hundred twenty-eight million, six hundred thirty-three thousand".