9992858400 has 864 divisors, whose sum is σ = 43433470080. Its totient is φ = 2110095360.

The previous prime is 9992858371. The next prime is 9992858419. The reversal of 9992858400 is 48582999.

9992858400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 91677546 + ... + 91677654.

It is an arithmetic number, because the mean of its divisors is an integer number (50270220).

Almost surely, 2^9992858400 is an apocalyptic number.

9992858400 is a gapful number since it is divisible by the number (90) 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 9992858400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21716735040).

9992858400 is an abundant number, since it is smaller than the sum of its proper divisors (33440611680).

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

9992858400 is a wasteful number, since it uses less digits than its factorization.

9992858400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The square root of 9992858400 is about 99964.2856224162. The cubic root of 9992858400 is about 2153.9216975335.

The spelling of 9992858400 in words is "nine billion, nine hundred ninety-two million, eight hundred fifty-eight thousand, four hundred".