232120728 has 160 divisors (see below), whose sum is σ = 754284960. Its totient is φ = 65318400.

The previous prime is 232120717. The next prime is 232120729. The reversal of 232120728 is 827021232.

It is a happy number.

232120728 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232120729) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 330778 + ... + 331478.

It is an arithmetic number, because the mean of its divisors is an integer number (4714281).

Almost surely, 2^232120728 is an apocalyptic number.

232120728 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 232120728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377142480).

232120728 is an abundant number, since it is smaller than the sum of its proper divisors (522164232).

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

232120728 is a wasteful number, since it uses less digits than its factorization.

232120728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 232120728 is about 15235.5087870409. The cubic root of 232120728 is about 614.5699313284.

The spelling of 232120728 in words is "two hundred thirty-two million, one hundred twenty thousand, seven hundred twenty-eight".