9283921920 has 1152 divisors, whose sum is σ = 42070129920. Its totient is φ = 1911029760.

The previous prime is 9283921909. The next prime is 9283921973. The reversal of 9283921920 is 291293829.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

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

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, 226437100 + ... + 226437140.

It is an arithmetic number, because the mean of its divisors is an integer number (36519210).

Almost surely, 2^9283921920 is an apocalyptic number.

9283921920 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 9283921920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21035064960).

9283921920 is an abundant number, since it is smaller than the sum of its proper divisors (32786208000).

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

9283921920 is a wasteful number, since it uses less digits than its factorization.

9283921920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 9283921920 is about 96353.1105880864. The cubic root of 9283921920 is about 2101.7311439605.

The spelling of 9283921920 in words is "nine billion, two hundred eighty-three million, nine hundred twenty-one thousand, nine hundred twenty".