9289716500 has 48 divisors (see below), whose sum is σ = 20309876496. Its totient is φ = 3712016000.

The previous prime is 9289716433. The next prime is 9289716509. The reversal of 9289716500 is 56179829.

It can be written as a sum of positive squares in 8 ways, for example, as 8108282116 + 1181434384 = 90046^2 + 34372^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9289716509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 497330 + ... + 515670.

It is an arithmetic number, because the mean of its divisors is an integer number (423122427).

Almost surely, 2^9289716500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9289716500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10154938248).

9289716500 is an abundant number, since it is smaller than the sum of its proper divisors (11020159996).

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

9289716500 is a wasteful number, since it uses less digits than its factorization.

9289716500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19373 (or 19361 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 47.

The square root of 9289716500 is about 96383.1753990291. The cubic root of 9289716500 is about 2102.1683197022.

The spelling of 9289716500 in words is "nine billion, two hundred eighty-nine million, seven hundred sixteen thousand, five hundred".