9029875200 has 240 divisors, whose sum is σ = 30108068496. Its totient is φ = 2385510400.

The previous prime is 9029875181. The next prime is 9029875223. The reversal of 9029875200 is 25789209.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×9029875200² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4338160 + ... + 4340240.

Almost surely, 2^9029875200 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 9029875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15054034248).

9029875200 is an abundant number, since it is smaller than the sum of its proper divisors (21078193296).

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

9029875200 is a wasteful number, since it uses less digits than its factorization.

9029875200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2225 (or 2204 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 9029875200 is about 95025.6554831378. The cubic root of 9029875200 is about 2082.3828706928.

The spelling of 9029875200 in words is "nine billion, twenty-nine million, eight hundred seventy-five thousand, two hundred".