9048508200 has 288 divisors, whose sum is σ = 32237936640. Its totient is φ = 2269555200.

The previous prime is 9048508199. The next prime is 9048508201. The reversal of 9048508200 is 28058409.

9048508200 is a `hidden beast` number, since 90 + 48 + 508 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9048508199) and next prime (9048508201).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (9048508201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2523609 + ... + 2527191.

It is an arithmetic number, because the mean of its divisors is an integer number (111937280).

Almost surely, 2^9048508200 is an apocalyptic number.

9048508200 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 9048508200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16118968320).

9048508200 is an abundant number, since it is smaller than the sum of its proper divisors (23189428440).

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

9048508200 is a wasteful number, since it uses less digits than its factorization.

9048508200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3689 (or 3677 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 9048508200 is about 95123.6469023344. The cubic root of 9048508200 is about 2083.8142076451.

The spelling of 9048508200 in words is "nine billion, forty-eight million, five hundred eight thousand, two hundred".