288648 has 48 divisors (see below), whose sum is σ = 826800. Its totient is φ = 90720.

The previous prime is 288647. The next prime is 288649. The reversal of 288648 is 846882.

288648 is a `hidden beast` number, since 2 + 8 + 8 + 648 = 666.

It is an interprime number because it is at equal distance from previous prime (288647) and next prime (288649).

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

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 2⁸ + 8 + 6⁷ + 8⁴ + 4⁴ + 8⁴ .

288648 is a modest number, since divided by 648 gives 288 as remainder.

It is a plaindrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 288648.

It is not an unprimeable number, because it can be changed into a prime (288647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1263 + ... + 1473.

It is an arithmetic number, because the mean of its divisors is an integer number (17225).

2²⁸⁸⁶⁴⁸ 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 288648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413400).

288648 is an abundant number, since it is smaller than the sum of its proper divisors (538152).

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

288648 is a wasteful number, since it uses less digits than its factorization.

288648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 235 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 288648 is about 537.2597137326. The cubic root of 288648 is about 66.0880367863.

It can be divided in two parts, 288 and 648, that multiplied together give a square (186624 = 432²).

The spelling of 288648 in words is "two hundred eighty-eight thousand, six hundred forty-eight".