48833928000 has 2240 divisors, whose sum is σ = 231977281536. Its totient is φ = 9953280000.

The previous prime is 48833927981. The next prime is 48833928019. The reversal of 48833928000 is 82933884.

48833928000 is a `hidden beast` number, since 488 + 3 + 3 + 92 + 80 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (48833927981) and next prime (48833928019).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 319 ways as a sum of consecutive naturals, for example, 1575287985 + ... + 1575288015.

Almost surely, 2^48833928000 is an apocalyptic number.

48833928000 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 48833928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115988640768).

48833928000 is an abundant number, since it is smaller than the sum of its proper divisors (183143353536).

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

48833928000 is a wasteful number, since it uses less digits than its factorization.

48833928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 48833928000 in words is "forty-eight billion, eight hundred thirty-three million, nine hundred twenty-eight thousand".