108948928000 has 640 divisors, whose sum is σ = 313456366080. Its totient is φ = 37416960000.

The previous prime is 108948927961. The next prime is 108948928009. The reversal of 108948928000 is 829849801.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108948928009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1786047970 + ... + 1786048030.

It is an arithmetic number, because the mean of its divisors is an integer number (489775572).

Almost surely, 2^108948928000 is an apocalyptic number.

108948928000 is a gapful number since it is divisible by the number (10) 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 108948928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156728183040).

108948928000 is an abundant number, since it is smaller than the sum of its proper divisors (204507438080).

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

108948928000 is an equidigital number, since it uses as much as digits as its factorization.

108948928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 49.

The spelling of 108948928000 in words is "one hundred eight billion, nine hundred forty-eight million, nine hundred twenty-eight thousand".