234187849728 has 816 divisors, whose sum is σ = 840343366560. Its totient is φ = 64210599936.

The previous prime is 234187849703. The next prime is 234187849769. The reversal of 234187849728 is 827948781432.

234187849728 is a `hidden beast` number, since 2 + 3 + 41 + 87 + 8 + 497 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3208052700 + ... + 3208052772.

Almost surely, 2^234187849728 is an apocalyptic number.

234187849728 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 234187849728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420171683280).

234187849728 is an abundant number, since it is smaller than the sum of its proper divisors (606155516832).

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

234187849728 is an frugal number, since it uses more digits than its factorization.

234187849728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 122 counting only the distinct ones).

The product of its digits is 43352064, while the sum is 63.

The spelling of 234187849728 in words is "two hundred thirty-four billion, one hundred eighty-seven million, eight hundred forty-nine thousand, seven hundred twenty-eight".