48528250848 has 288 divisors, whose sum is σ = 178429305600. Its totient is φ = 12604584960.

The previous prime is 48528250829. The next prime is 48528250867. The reversal of 48528250848 is 84805282584.

48528250848 is a `hidden beast` number, since 4 + 8 + 52 + 82 + 508 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (48528250829) and next prime (48528250867).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×48528250848² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 48528250794 and 48528250803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 558228 + ... + 639276.

It is an arithmetic number, because the mean of its divisors is an integer number (619546200).

Almost surely, 2^48528250848 is an apocalyptic number.

48528250848 is a gapful number since it is divisible by the number (48) 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 48528250848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89214652800).

48528250848 is an abundant number, since it is smaller than the sum of its proper divisors (129901054752).

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

48528250848 is a wasteful number, since it uses less digits than its factorization.

48528250848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81092 (or 81072 counting only the distinct ones).

The product of its (nonzero) digits is 6553600, while the sum is 54.

It can be divided in two parts, 485282 and 50848, that added together give a triangular number (536130 = T₁₀₃₅).

The spelling of 48528250848 in words is "forty-eight billion, five hundred twenty-eight million, two hundred fifty thousand, eight hundred forty-eight".