360828 has 48 divisors (see below), whose sum is σ = 1011360. Its totient is φ = 110592.

The previous prime is 360827. The next prime is 360851. The reversal of 360828 is 828063.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 360828.

It is not an unprimeable number, because it can be changed into a prime (360821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1276 + ... + 1532.

It is an arithmetic number, because the mean of its divisors is an integer number (21070).

2³⁶⁰⁸²⁸ 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 360828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505680).

360828 is an abundant number, since it is smaller than the sum of its proper divisors (650532).

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

360828 is a wasteful number, since it uses less digits than its factorization.

360828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 360828 is about 600.6896037056. The cubic root of 360828 is about 71.1923633606.

The spelling of 360828 in words is "three hundred sixty thousand, eight hundred twenty-eight".