9903928320 has 880 divisors, whose sum is σ = 41944307328. Its totient is φ = 2202992640.

The previous prime is 9903928303. The next prime is 9903928327. The reversal of 9903928320 is 238293099.

It is a tau number, because it is divible by the number of its divisors (880).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9903928327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 59304877 + ... + 59305043.

Almost surely, 2^9903928320 is an apocalyptic number.

9903928320 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 9903928320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20972153664).

9903928320 is an abundant number, since it is smaller than the sum of its proper divisors (32040379008).

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

9903928320 is a wasteful number, since it uses less digits than its factorization.

9903928320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 9903928320 is about 99518.4823035400. The cubic root of 9903928320 is about 2147.5131383073.

The spelling of 9903928320 in words is "nine billion, nine hundred three million, nine hundred twenty-eight thousand, three hundred twenty".