288628248 has 64 divisors (see below), whose sum is σ = 742659840. Its totient is φ = 93435264.

The previous prime is 288628243. The next prime is 288628273. The reversal of 288628248 is 842826882.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 288628197 and 288628206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288628243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129915 + ... + 132117.

It is an arithmetic number, because the mean of its divisors is an integer number (11604060).

Almost surely, 2^288628248 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 288628248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371329920).

288628248 is an abundant number, since it is smaller than the sum of its proper divisors (454031592).

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

288628248 is a wasteful number, since it uses less digits than its factorization.

288628248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2368 (or 2364 counting only the distinct ones).

The product of its digits is 786432, while the sum is 48.

The square root of 288628248 is about 16989.0625992136. The cubic root of 288628248 is about 660.8652929774.

The spelling of 288628248 in words is "two hundred eighty-eight million, six hundred twenty-eight thousand, two hundred forty-eight".