9683005248 has 672 divisors, whose sum is σ = 36319968000. Its totient is φ = 2519838720.

The previous prime is 9683005223. The next prime is 9683005249. The reversal of 9683005248 is 8425003869.

9683005248 is a `hidden beast` number, since 96 + 8 + 30 + 0 + 524 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9683005249) 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, 312354993 + ... + 312355023.

Almost surely, 2^9683005248 is an apocalyptic number.

9683005248 is a gapful number since it is divisible by the number (98) 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 9683005248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18159984000).

9683005248 is an abundant number, since it is smaller than the sum of its proper divisors (26636962752).

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

9683005248 is a wasteful number, since it uses less digits than its factorization.

9683005248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 9683005248 is about 98402.2624130157. The cubic root of 9683005248 is about 2131.4250016078.

The spelling of 9683005248 in words is "nine billion, six hundred eighty-three million, five thousand, two hundred forty-eight".