229842505728 has 312 divisors, whose sum is σ = 733097121120. Its totient is φ = 68800020480.

The previous prime is 229842505657. The next prime is 229842505741. The reversal of 229842505728 is 827505248922.

229842505728 is a `hidden beast` number, since 2 + 2 + 98 + 42 + 505 + 7 + 2 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33653418 + ... + 33660246.

It is an arithmetic number, because the mean of its divisors is an integer number (2349670260).

Almost surely, 2^229842505728 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 229842505728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366548560560).

229842505728 is an abundant number, since it is smaller than the sum of its proper divisors (503254615392).

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

229842505728 is a wasteful number, since it uses less digits than its factorization.

229842505728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6953 (or 6928 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 229842505728 in words is "two hundred twenty-nine billion, eight hundred forty-two million, five hundred five thousand, seven hundred twenty-eight".