232833097728 has 1344 divisors, whose sum is σ = 915980083200. Its totient is φ = 58525286400.

The previous prime is 232833097711. The next prime is 232833097751. The reversal of 232833097728 is 827790338232.

232833097728 is a `hidden beast` number, since 2 + 328 + 3 + 309 + 7 + 7 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×232833097728² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7510745073 + ... + 7510745103.

It is an arithmetic number, because the mean of its divisors is an integer number (681532800).

Almost surely, 2^232833097728 is an apocalyptic number.

232833097728 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 232833097728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457990041600).

232833097728 is an abundant number, since it is smaller than the sum of its proper divisors (683146985472).

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

232833097728 is an frugal number, since it uses more digits than its factorization.

232833097728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 232833097728 in words is "two hundred thirty-two billion, eight hundred thirty-three million, ninety-seven thousand, seven hundred twenty-eight".