9928949520 has 320 divisors, whose sum is σ = 36140544000. Its totient is φ = 2208135168.

The previous prime is 9928949509. The next prime is 9928949521. The reversal of 9928949520 is 259498299.

It is not an unprimeable number, because it can be changed into a prime (9928949521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10803621 + ... + 10804539.

It is an arithmetic number, because the mean of its divisors is an integer number (112939200).

Almost surely, 2^9928949520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9928949520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18070272000).

9928949520 is an abundant number, since it is smaller than the sum of its proper divisors (26211594480).

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

9928949520 is a wasteful number, since it uses less digits than its factorization.

9928949520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 57.

The square root of 9928949520 is about 99644.1143269385. The cubic root of 9928949520 is about 2149.3201037494.

The spelling of 9928949520 in words is "nine billion, nine hundred twenty-eight million, nine hundred forty-nine thousand, five hundred twenty".