48928368000 has 256 divisors, whose sum is σ = 162999982080. Its totient is φ = 12983040000.

The previous prime is 48928367993. The next prime is 48928368001. The reversal of 48928368000 is 86382984.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48928368001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10125585 + ... + 10130415.

It is an arithmetic number, because the mean of its divisors is an integer number (636718680).

Almost surely, 2^48928368000 is an apocalyptic number.

48928368000 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 48928368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81499991040).

48928368000 is an abundant number, since it is smaller than the sum of its proper divisors (114071614080).

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

48928368000 is a wasteful number, since it uses less digits than its factorization.

48928368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5074 (or 5052 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 48928368000 in words is "forty-eight billion, nine hundred twenty-eight million, three hundred sixty-eight thousand".