10282507248 has 160 divisors (see below), whose sum is σ = 30353612800. Its totient is φ = 2973293568.

The previous prime is 10282507231. The next prime is 10282507283. The reversal of 10282507248 is 84270528201.

10282507248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1502298 + ... + 1509126.

It is an arithmetic number, because the mean of its divisors is an integer number (189710080).

Almost surely, 2^10282507248 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 10282507248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15176806400).

10282507248 is an abundant number, since it is smaller than the sum of its proper divisors (20071105552).

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

10282507248 is a wasteful number, since it uses less digits than its factorization.

10282507248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6999 (or 6993 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The spelling of 10282507248 in words is "ten billion, two hundred eighty-two million, five hundred seven thousand, two hundred forty-eight".