288828 has 36 divisors (see below), whose sum is σ = 746928. Its totient is φ = 94080.

The previous prime is 288823. The next prime is 288833. The reversal of 288828 is 828882.

It is an interprime number because it is at equal distance from previous prime (288823) and next prime (288833).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×288828² = 166843227168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 288792 and 288801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288823) by changing a digit.

288828 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 11 ways as a sum of consecutive naturals, for example, 2500 + ... + 2612.

It is an arithmetic number, because the mean of its divisors is an integer number (20748).

2²⁸⁸⁸²⁸ 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 288828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373464).

288828 is an abundant number, since it is smaller than the sum of its proper divisors (458100).

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

288828 is a wasteful number, since it uses less digits than its factorization.

288828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 189 counting only the distinct ones).

The product of its digits is 16384, while the sum is 36.

The square root of 288828 is about 537.4272043728. The cubic root of 288828 is about 66.1017713635.

It can be divided in two parts, 2888 and 28, that added together give a square (2916 = 54²).

The spelling of 288828 in words is "two hundred eighty-eight thousand, eight hundred twenty-eight".