8492428800 has 300 divisors, whose sum is σ = 31434940416. Its totient is φ = 2264371200.

The previous prime is 8492428787. The next prime is 8492428801. The reversal of 8492428800 is 88242948.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8492428801) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 1032705 + ... + 1040895.

Almost surely, 2^8492428800 is an apocalyptic number.

8492428800 is a gapful number since it is divisible by the number (80) 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 8492428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15717470208).

8492428800 is an abundant number, since it is smaller than the sum of its proper divisors (22942511616).

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

8492428800 is an equidigital number, since it uses as much as digits as its factorization.

8492428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8231 (or 8201 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 8492428800 is about 92154.3748283281. The cubic root of 8492428800 is about 2040.2214292516.

The spelling of 8492428800 in words is "eight billion, four hundred ninety-two million, four hundred twenty-eight thousand, eight hundred".