48928322900 has 72 divisors (see below), whose sum is σ = 107366419776. Its totient is φ = 19351987200.

The previous prime is 48928322881. The next prime is 48928322951. The reversal of 48928322900 is 922382984.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17914535 + ... + 17917265.

Almost surely, 2^48928322900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48928322900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53683209888).

48928322900 is an abundant number, since it is smaller than the sum of its proper divisors (58438096876).

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

48928322900 is a wasteful number, since it uses less digits than its factorization.

48928322900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4689 (or 4682 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 47.

The spelling of 48928322900 in words is "forty-eight billion, nine hundred twenty-eight million, three hundred twenty-two thousand, nine hundred".