365028 has 24 divisors (see below), whose sum is σ = 897120. Its totient is φ = 115200.

The previous prime is 365021. The next prime is 365039. The reversal of 365028 is 820563.

365028 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 364989 and 365007.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 365028.

It is not an unprimeable number, because it can be changed into a prime (365021) by changing a digit.

365028 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 7 ways as a sum of consecutive naturals, for example, 573 + ... + 1028.

It is an arithmetic number, because the mean of its divisors is an integer number (37380).

2³⁶⁵⁰²⁸ is an apocalyptic number.

365028 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

365028 is an abundant number, since it is smaller than the sum of its proper divisors (532092).

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

365028 is a wasteful number, since it uses less digits than its factorization.

365028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 365028 is about 604.1754712002. The cubic root of 365028 is about 71.4675223747.

Subtracting 365028 from its reverse (820563), we obtain a triangular number (455535 = T₉₅₄).

The spelling of 365028 in words is "three hundred sixty-five thousand, twenty-eight".