248828832720 has 960 divisors, whose sum is σ = 999935000064. Its totient is φ = 54871326720.

The previous prime is 248828832691. The next prime is 248828832743. The reversal of 248828832720 is 27238828842.

248828832720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 280528117 + ... + 280529003.

Almost surely, 2^248828832720 is an apocalyptic number.

248828832720 is a gapful number since it is divisible by the number (20) 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 248828832720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499967500032).

248828832720 is an abundant number, since it is smaller than the sum of its proper divisors (751106167344).

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

248828832720 is a wasteful number, since it uses less digits than its factorization.

248828832720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The spelling of 248828832720 in words is "two hundred forty-eight billion, eight hundred twenty-eight million, eight hundred thirty-two thousand, seven hundred twenty".