48628940800 has 360 divisors, whose sum is σ = 135155224512. Its totient is φ = 17203200000.

The previous prime is 48628940797. The next prime is 48628940809. The reversal of 48628940800 is 804982684.

It is not an unprimeable number, because it can be changed into a prime (48628940809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193740675 + ... + 193740925.

Almost surely, 2^48628940800 is an apocalyptic number.

48628940800 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 48628940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67577612256).

48628940800 is an abundant number, since it is smaller than the sum of its proper divisors (86526283712).

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

48628940800 is a wasteful number, since it uses less digits than its factorization.

48628940800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 49.

The spelling of 48628940800 in words is "forty-eight billion, six hundred twenty-eight million, nine hundred forty thousand, eight hundred".