307728 has 30 divisors (see below), whose sum is σ = 861614. Its totient is φ = 102528.

The previous prime is 307711. The next prime is 307733. The reversal of 307728 is 827703.

307728 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in only one way, i.e., 186624 + 121104 = 432^2 + 348^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 307728.

It is an unprimeable number.

307728 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 5 ways as a sum of consecutive naturals, for example, 925 + ... + 1212.

2³⁰⁷⁷²⁸ is an apocalyptic number.

It is an amenable number.

307728 is an abundant number, since it is smaller than the sum of its proper divisors (553886).

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

307728 is a wasteful number, since it uses less digits than its factorization.

307728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2151 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 307728 is about 554.7323679037. The cubic root of 307728 is about 67.5132484283.

It can be divided in two parts, 307 and 728, that added together give a triangular number (1035 = T₄₅).

The spelling of 307728 in words is "three hundred seven thousand, seven hundred twenty-eight".