48628730880 has 264 divisors, whose sum is σ = 169749227232. Its totient is φ = 12871335936.

The previous prime is 48628730879. The next prime is 48628730893. The reversal of 48628730880 is 8803782684.

48628730880 is a `hidden beast` number, since 4 + 8 + 628 + 7 + 3 + 0 + 8 + 8 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6309109 + ... + 6316811.

Almost surely, 2^48628730880 is an apocalyptic number.

48628730880 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 48628730880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84874613616).

48628730880 is an abundant number, since it is smaller than the sum of its proper divisors (121120496352).

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

48628730880 is a wasteful number, since it uses less digits than its factorization.

48628730880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7871 (or 7850 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 48628730880 in words is "forty-eight billion, six hundred twenty-eight million, seven hundred thirty thousand, eight hundred eighty".