48928803840 has 704 divisors, whose sum is σ = 202328755200. Its totient is φ = 10981343232.

The previous prime is 48928803769. The next prime is 48928803883. The reversal of 48928803840 is 4830882984.

48928803840 is a `hidden beast` number, since 489 + 2 + 8 + 80 + 3 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57092692 + ... + 57093548.

It is an arithmetic number, because the mean of its divisors is an integer number (287398800).

Almost surely, 2^48928803840 is an apocalyptic number.

48928803840 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 48928803840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101164377600).

48928803840 is an abundant number, since it is smaller than the sum of its proper divisors (153399951360).

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

48928803840 is a wasteful number, since it uses less digits than its factorization.

48928803840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 48928803840 in words is "forty-eight billion, nine hundred twenty-eight million, eight hundred three thousand, eight hundred forty".