102728550200 has 192 divisors, whose sum is σ = 268482816000. Its totient is φ = 36372672000.

The previous prime is 102728550191. The next prime is 102728550203. The reversal of 102728550200 is 2055827201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102728550203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3401165 + ... + 3431235.

It is an arithmetic number, because the mean of its divisors is an integer number (1398348000).

Almost surely, 2^102728550200 is an apocalyptic number.

102728550200 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 102728550200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134241408000).

102728550200 is an abundant number, since it is smaller than the sum of its proper divisors (165754265800).

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

102728550200 is a wasteful number, since it uses less digits than its factorization.

102728550200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30166 (or 30157 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 32.

The spelling of 102728550200 in words is "one hundred two billion, seven hundred twenty-eight million, five hundred fifty thousand, two hundred".