9928689840 has 240 divisors, whose sum is σ = 34262557056. Its totient is φ = 2575411200.

The previous prime is 9928689811. The next prime is 9928689919. The reversal of 9928689840 is 489868299.

9928689840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 6124230 + ... + 6125850.

Almost surely, 2^9928689840 is an apocalyptic number.

9928689840 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 9928689840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17131278528).

9928689840 is an abundant number, since it is smaller than the sum of its proper divisors (24333867216).

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

9928689840 is a wasteful number, since it uses less digits than its factorization.

9928689840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1868 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The square root of 9928689840 is about 99642.8112810954. The cubic root of 9928689840 is about 2149.3013659393.

The spelling of 9928689840 in words is "nine billion, nine hundred twenty-eight million, six hundred eighty-nine thousand, eight hundred forty".