48282862320 has 1200 divisors, whose sum is σ = 222222443520. Its totient is φ = 9484231680.

The previous prime is 48282862289. The next prime is 48282862361. The reversal of 48282862320 is 2326828284.

48282862320 is a `hidden beast` number, since 48 + 2 + 8 + 286 + 2 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 239 ways as a sum of consecutive naturals, for example, 104282409 + ... + 104282871.

Almost surely, 2^48282862320 is an apocalyptic number.

48282862320 is a gapful number since it is divisible by the number (40) 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 48282862320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111111221760).

48282862320 is an abundant number, since it is smaller than the sum of its proper divisors (173939581200).

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

48282862320 is a wasteful number, since it uses less digits than its factorization.

48282862320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 48282862320 in words is "forty-eight billion, two hundred eighty-two million, eight hundred sixty-two thousand, three hundred twenty".