9928001520 has 400 divisors, whose sum is σ = 37237527360. Its totient is φ = 2443972608.

The previous prime is 9928001477. The next prime is 9928001521. The reversal of 9928001520 is 251008299.

9928001520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9928001520² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9928001521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4321012 + ... + 4323308.

Almost surely, 2^9928001520 is an apocalyptic number.

9928001520 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 9928001520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18618763680).

9928001520 is an abundant number, since it is smaller than the sum of its proper divisors (27309525840).

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

9928001520 is a wasteful number, since it uses less digits than its factorization.

9928001520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2374 (or 2359 counting only the distinct ones).

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

The square root of 9928001520 is about 99639.3572841575. The cubic root of 9928001520 is about 2149.2516970394.

The spelling of 9928001520 in words is "nine billion, nine hundred twenty-eight million, one thousand, five hundred twenty".