6288013248 has 224 divisors, whose sum is σ = 18933980928. Its totient is φ = 1824768000.

The previous prime is 6288013229. The next prime is 6288013267. The reversal of 6288013248 is 8423108826.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6288013229) and next prime (6288013267).

It is a super-3 number, since 3×6288013248³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5235048 + ... + 5236248.

Almost surely, 2^6288013248 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 6288013248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9466990464).

6288013248 is an abundant number, since it is smaller than the sum of its proper divisors (12645967680).

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

6288013248 is a wasteful number, since it uses less digits than its factorization.

6288013248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 6288013248 is about 79296.9939405019. The cubic root of 6288013248 is about 1845.7426570818.

The spelling of 6288013248 in words is "six billion, two hundred eighty-eight million, thirteen thousand, two hundred forty-eight".