248288768 has 120 divisors (see below), whose sum is σ = 619054128. Its totient is φ = 96878592.

The previous prime is 248288717. The next prime is 248288771. The reversal of 248288768 is 867882842.

It is a happy number.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3401180 + ... + 3401252.

Almost surely, 2^248288768 is an apocalyptic number.

248288768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248288768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309527064).

248288768 is an abundant number, since it is smaller than the sum of its proper divisors (370765360).

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

248288768 is an frugal number, since it uses more digits than its factorization.

248288768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 95 counting only the distinct ones).

The product of its digits is 2752512, while the sum is 53.

The square root of 248288768 is about 15757.1814738550. The cubic root of 248288768 is about 628.5198880998.

The spelling of 248288768 in words is "two hundred forty-eight million, two hundred eighty-eight thousand, seven hundred sixty-eight".