9828931320 has 384 divisors, whose sum is σ = 36229939200. Its totient is φ = 2292820992.

The previous prime is 9828931319. The next prime is 9828931351. The reversal of 9828931320 is 231398289.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13669921 + ... + 13670639.

It is an arithmetic number, because the mean of its divisors is an integer number (94348800).

Almost surely, 2^9828931320 is an apocalyptic number.

9828931320 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 9828931320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18114969600).

9828931320 is an abundant number, since it is smaller than the sum of its proper divisors (26401007880).

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

9828931320 is a wasteful number, since it uses less digits than its factorization.

9828931320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 9828931320 is about 99140.9669107579. The cubic root of 9828931320 is about 2142.0787527898.

The spelling of 9828931320 in words is "nine billion, eight hundred twenty-eight million, nine hundred thirty-one thousand, three hundred twenty".