369728 has 28 divisors (see below), whose sum is σ = 754380. Its totient is φ = 179712.

The previous prime is 369709. The next prime is 369731. The reversal of 369728 is 827963.

369728 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 262144 + 107584 = 512^2 + 328^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 369728.

It is an unprimeable number.

369728 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, 3338 + ... + 3446.

2³⁶⁹⁷²⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 369728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377190).

369728 is an abundant number, since it is smaller than the sum of its proper divisors (384652).

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

369728 is a wasteful number, since it uses less digits than its factorization.

369728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 164 counting only the distinct ones).

The product of its digits is 18144, while the sum is 35.

The square root of 369728 is about 608.0526293011. The cubic root of 369728 is about 71.7729472911.

The spelling of 369728 in words is "three hundred sixty-nine thousand, seven hundred twenty-eight".