234284365728 has 288 divisors, whose sum is σ = 789458866560. Its totient is φ = 64484259840.

The previous prime is 234284365697. The next prime is 234284365747. The reversal of 234284365728 is 827563482432.

234284365728 is a `hidden beast` number, since 2 + 3 + 4 + 28 + 43 + 6 + 572 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27298398 + ... + 27306978.

It is an arithmetic number, because the mean of its divisors is an integer number (2741176620).

Almost surely, 2^234284365728 is an apocalyptic number.

234284365728 is a gapful number since it is divisible by the number (28) 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 234284365728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394729433280).

234284365728 is an abundant number, since it is smaller than the sum of its proper divisors (555174500832).

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

234284365728 is a wasteful number, since it uses less digits than its factorization.

234284365728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9100 (or 9089 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 54.

The spelling of 234284365728 in words is "two hundred thirty-four billion, two hundred eighty-four million, three hundred sixty-five thousand, seven hundred twenty-eight".