8628338700 has 180 divisors, whose sum is σ = 28041845832. Its totient is φ = 2294956800.

The previous prime is 8628338699. The next prime is 8628338707. The reversal of 8628338700 is 78338268.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8628338707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3781560 + ... + 3783840.

Almost surely, 2^8628338700 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 8628338700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14020922916).

8628338700 is an abundant number, since it is smaller than the sum of its proper divisors (19413507132).

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

8628338700 is a wasteful number, since it uses less digits than its factorization.

8628338700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2774 (or 2758 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 8628338700 is about 92888.8513224273. The cubic root of 8628338700 is about 2051.0475471043.

The spelling of 8628338700 in words is "eight billion, six hundred twenty-eight million, three hundred thirty-eight thousand, seven hundred".