47871833328 has 400 divisors, whose sum is σ = 157289932800. Its totient is φ = 13925260800.

The previous prime is 47871833237. The next prime is 47871833329. The reversal of 47871833328 is 82333817874.

It is a happy number.

47871833328 is a `hidden beast` number, since 478 + 71 + 83 + 3 + 3 + 28 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47871833329) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 65848101 + ... + 65848827.

It is an arithmetic number, because the mean of its divisors is an integer number (393224832).

Almost surely, 2^47871833328 is an apocalyptic number.

47871833328 is a gapful number since it is divisible by the number (48) 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 47871833328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78644966400).

47871833328 is an abundant number, since it is smaller than the sum of its proper divisors (109418099472).

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

47871833328 is a wasteful number, since it uses less digits than its factorization.

47871833328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 923 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The spelling of 47871833328 in words is "forty-seven billion, eight hundred seventy-one million, eight hundred thirty-three thousand, three hundred twenty-eight".