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232728 = 2339697
BaseRepresentation
bin111000110100011000
3102211020120
4320310120
524421403
64553240
71656336
oct706430
9384216
10232728
11149941
12b2820
1381c12
1460b56
1548e53
hex38d18

232728 has 16 divisors (see below), whose sum is σ = 581880. Its totient is φ = 77568.

The previous prime is 232711. The next prime is 232741. The reversal of 232728 is 827232.

232728 is nontrivially palindromic in base 11.

232728 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 (24), and also a Moran number because the ratio is a prime number: 9697 = 232728 / (2 + 3 + 2 + 7 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 232698 and 232707.

It is a congruent number.

It is an unprimeable number.

232728 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4825 + ... + 4872.

2232728 is an apocalyptic number.

It is an amenable number.

232728 is an abundant number, since it is smaller than the sum of its proper divisors (349152).

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

232728 is a wasteful number, since it uses less digits than its factorization.

232728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9706 (or 9702 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 232728 is about 482.4189051022. The cubic root of 232728 is about 61.5105408596.

It can be divided in two parts, 2327 and 28, that multiplied together give a palindrome (65156).

The spelling of 232728 in words is "two hundred thirty-two thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 9697 19394 29091 38788 58182 77576 116364 232728