365288 has 32 divisors (see below), whose sum is σ = 855360. Its totient is φ = 142080.

The previous prime is 365257. The next prime is 365291. The reversal of 365288 is 882563.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 3⁹ + 6⁷ + 2¹⁶ + 5 + 8² + 8² .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 365288.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 320 + ... + 912.

It is an arithmetic number, because the mean of its divisors is an integer number (26730).

2³⁶⁵²⁸⁸ 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 365288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427680).

365288 is an abundant number, since it is smaller than the sum of its proper divisors (490072).

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

365288 is a wasteful number, since it uses less digits than its factorization.

365288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 613 counting only the distinct ones).

The product of its digits is 11520, while the sum is 32.

The square root of 365288 is about 604.3906021771. The cubic root of 365288 is about 71.4844865034.

The spelling of 365288 in words is "three hundred sixty-five thousand, two hundred eighty-eight".