48492828800 has 288 divisors, whose sum is σ = 133412906340. Its totient is φ = 17313177600.

The previous prime is 48492828751. The next prime is 48492828817. The reversal of 48492828800 is 882829484.

It can be written as a sum of positive squares in 6 ways, for example, as 1188318784 + 47304510016 = 34472^2 + 217496^2 .

It is a super-2 number, since 2×48492828800² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39976994 + ... + 39978206.

Almost surely, 2^48492828800 is an apocalyptic number.

48492828800 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 48492828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66706453170).

48492828800 is an abundant number, since it is smaller than the sum of its proper divisors (84920077540).

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

48492828800 is a wasteful number, since it uses less digits than its factorization.

48492828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 53.

The spelling of 48492828800 in words is "forty-eight billion, four hundred ninety-two million, eight hundred twenty-eight thousand, eight hundred".