9928105200 has 600 divisors, whose sum is σ = 38927157808. Its totient is φ = 2418647040.

The previous prime is 9928105189. The next prime is 9928105219. The reversal of 9928105200 is 25018299.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 102351552 + ... + 102351648.

Almost surely, 2^9928105200 is an apocalyptic number.

9928105200 is a gapful number since it is divisible by the number (90) 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 9928105200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19463578904).

9928105200 is an abundant number, since it is smaller than the sum of its proper divisors (28999052608).

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

9928105200 is an equidigital number, since it uses as much as digits as its factorization.

9928105200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 9928105200 is about 99639.8775591379. The cubic root of 9928105200 is about 2149.2591786942.

The spelling of 9928105200 in words is "nine billion, nine hundred twenty-eight million, one hundred five thousand, two hundred".