9091828200 has 288 divisors, whose sum is σ = 34882142400. Its totient is φ = 1918126080.

The previous prime is 9091828183. The next prime is 9091828223. The reversal of 9091828200 is 28281909.

9091828200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9091828200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 703396 + ... + 716204.

It is an arithmetic number, because the mean of its divisors is an integer number (121118550).

Almost surely, 2^9091828200 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 9091828200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17441071200).

9091828200 is an abundant number, since it is smaller than the sum of its proper divisors (25790314200).

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

9091828200 is a wasteful number, since it uses less digits than its factorization.

9091828200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12861 (or 12839 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 9091828200 is about 95351.0786514762. The cubic root of 9091828200 is about 2087.1343555019.

The spelling of 9091828200 in words is "nine billion, ninety-one million, eight hundred twenty-eight thousand, two hundred".