228324096000 has 2880 divisors, whose sum is σ = 1151419389120. Its totient is φ = 43794432000.

The previous prime is 228324095963. The next prime is 228324096023. The reversal of 228324096000 is 690423822.

228324096000 is a `hidden beast` number, since 2 + 2 + 8 + 3 + 2 + 40 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 17563391994 + ... + 17563392006.

It is an arithmetic number, because the mean of its divisors is an integer number (399798399).

Almost surely, 2^228324096000 is an apocalyptic number.

228324096000 is a gapful number since it is divisible by the number (20) 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 228324096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575709694560).

228324096000 is an abundant number, since it is smaller than the sum of its proper divisors (923095293120).

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

228324096000 is a wasteful number, since it uses less digits than its factorization.

228324096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 228324096000 in words is "two hundred twenty-eight billion, three hundred twenty-four million, ninety-six thousand".