48288028800 has 768 divisors, whose sum is σ = 187413004800. Its totient is φ = 10801152000.

The previous prime is 48288028721. The next prime is 48288028927. The reversal of 48288028800 is 882088284.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 48288028800.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82262107 + ... + 82262693.

It is an arithmetic number, because the mean of its divisors is an integer number (244027350).

Almost surely, 2^48288028800 is an apocalyptic number.

48288028800 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 48288028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93706502400).

48288028800 is an abundant number, since it is smaller than the sum of its proper divisors (139124976000).

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

48288028800 is a wasteful number, since it uses less digits than its factorization.

48288028800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 48.

The spelling of 48288028800 in words is "forty-eight billion, two hundred eighty-eight million, twenty-eight thousand, eight hundred".