9278572800 has 864 divisors, whose sum is σ = 38541533184. Its totient is φ = 1916928000.

The previous prime is 9278572777. The next prime is 9278572829. The reversal of 9278572800 is 82758729.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 9278572800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70828735 + ... + 70828865.

It is an arithmetic number, because the mean of its divisors is an integer number (44608256).

Almost surely, 2^9278572800 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 9278572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19270766592).

9278572800 is an abundant number, since it is smaller than the sum of its proper divisors (29262960384).

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

9278572800 is a wasteful number, since it uses less digits than its factorization.

9278572800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The square root of 9278572800 is about 96325.3486887019. The cubic root of 9278572800 is about 2101.3274147296.

The spelling of 9278572800 in words is "nine billion, two hundred seventy-eight million, five hundred seventy-two thousand, eight hundred".