228491424000 has 1728 divisors, whose sum is σ = 1020721927680. Its totient is φ = 47893708800.

The previous prime is 228491423971. The next prime is 228491424013. The reversal of 228491424000 is 424194822.

228491424000 is a `hidden beast` number, since 228 + 4 + 9 + 1 + 424 + 0 + 0 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 2022047944 + ... + 2022048056.

It is an arithmetic number, because the mean of its divisors is an integer number (590695560).

Almost surely, 2^228491424000 is an apocalyptic number.

228491424000 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 228491424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510360963840).

228491424000 is an abundant number, since it is smaller than the sum of its proper divisors (792230503680).

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

228491424000 is a wasteful number, since it uses less digits than its factorization.

228491424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 228491424000 in words is "two hundred twenty-eight billion, four hundred ninety-one million, four hundred twenty-four thousand".