9828241920 has 960 divisors, whose sum is σ = 42110804736. Its totient is φ = 2149908480.

The previous prime is 9828241903. The next prime is 9828241921. The reversal of 9828241920 is 291428289.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is not an unprimeable number, because it can be changed into a prime (9828241921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 161118690 + ... + 161118750.

Almost surely, 2^9828241920 is an apocalyptic number.

9828241920 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 9828241920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21055402368).

9828241920 is an abundant number, since it is smaller than the sum of its proper divisors (32282562816).

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

9828241920 is an equidigital number, since it uses as much as digits as its factorization.

9828241920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 9828241920 is about 99137.4899823472. The cubic root of 9828241920 is about 2142.0286699079.

The spelling of 9828241920 in words is "nine billion, eight hundred twenty-eight million, two hundred forty-one thousand, nine hundred twenty".