248512128 has 64 divisors (see below), whose sum is σ = 677989920. Its totient is φ = 80593920.

The previous prime is 248512127. The next prime is 248512129. The reversal of 248512128 is 821215842.

It is an interprime number because it is at equal distance from previous prime (248512127) and next prime (248512129).

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (248512127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5463 + ... + 22953.

Almost surely, 2^248512128 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 248512128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338994960).

248512128 is an abundant number, since it is smaller than the sum of its proper divisors (429477792).

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

248512128 is a wasteful number, since it uses less digits than its factorization.

248512128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17545 (or 17533 counting only the distinct ones).

The product of its digits is 10240, while the sum is 33.

The square root of 248512128 is about 15764.2674425423. The cubic root of 248512128 is about 628.7083032899.

The spelling of 248512128 in words is "two hundred forty-eight million, five hundred twelve thousand, one hundred twenty-eight".