9528865920 has 384 divisors, whose sum is σ = 39002221440. Its totient is φ = 2177777664.

The previous prime is 9528865903. The next prime is 9528865981. The reversal of 9528865920 is 295688259.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1084264 + ... + 1093016.

It is an arithmetic number, because the mean of its divisors is an integer number (101568285).

Almost surely, 2^9528865920 is an apocalyptic number.

9528865920 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 9528865920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19501110720).

9528865920 is an abundant number, since it is smaller than the sum of its proper divisors (29473355520).

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

9528865920 is an equidigital number, since it uses as much as digits as its factorization.

9528865920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8794 (or 8770 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The square root of 9528865920 is about 97615.9101786179. The cubic root of 9528865920 is about 2120.0547274350.

The spelling of 9528865920 in words is "nine billion, five hundred twenty-eight million, eight hundred sixty-five thousand, nine hundred twenty".