9129782500 has 60 divisors (see below), whose sum is σ = 19989210780. Its totient is φ = 3647488000.

The previous prime is 9129782479. The next prime is 9129782507. The reversal of 9129782500 is 52879219.

It can be written as a sum of positive squares in 10 ways, for example, as 8144701504 + 985080996 = 90248^2 + 31386^2 .

It is not an unprimeable number, because it can be changed into a prime (9129782507) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2740836 + ... + 2744164.

It is an arithmetic number, because the mean of its divisors is an integer number (333153513).

Almost surely, 2^9129782500 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 9129782500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9994605390).

9129782500 is an abundant number, since it is smaller than the sum of its proper divisors (10859428280).

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

9129782500 is a wasteful number, since it uses less digits than its factorization.

9129782500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4450 (or 4433 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 43.

The square root of 9129782500 is about 95549.8953426952. The cubic root of 9129782500 is about 2090.0346063881.

The spelling of 9129782500 in words is "nine billion, one hundred twenty-nine million, seven hundred eighty-two thousand, five hundred".