6288288 has 48 divisors (see below), whose sum is σ = 17047296. Its totient is φ = 2027520.

The previous prime is 6288287. The next prime is 6288299. The reversal of 6288288 is 8828826.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6288287) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1920 + ... + 4032.

It is an arithmetic number, because the mean of its divisors is an integer number (355152).

Almost surely, 2^6288288 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 6288288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8523648).

6288288 is an abundant number, since it is smaller than the sum of its proper divisors (10759008).

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

6288288 is a wasteful number, since it uses less digits than its factorization.

6288288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2157 (or 2149 counting only the distinct ones).

The product of its digits is 98304, while the sum is 42.

The square root of 6288288 is about 2507.6459080181. The cubic root of 6288288 is about 184.5769539664.

The spelling of 6288288 in words is "six million, two hundred eighty-eight thousand, two hundred eighty-eight".