47905367328 has 720 divisors, whose sum is σ = 184810792320. Its totient is φ = 11878244352.

The previous prime is 47905367303. The next prime is 47905367369. The reversal of 47905367328 is 82376350974.

47905367328 is a `hidden beast` number, since 4 + 79 + 0 + 536 + 7 + 32 + 8 = 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 119 ways as a sum of consecutive naturals, for example, 52127253 + ... + 52128171.

It is an arithmetic number, because the mean of its divisors is an integer number (256681656).

Almost surely, 2^47905367328 is an apocalyptic number.

47905367328 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 47905367328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92405396160).

47905367328 is an abundant number, since it is smaller than the sum of its proper divisors (136905424992).

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

47905367328 is a wasteful number, since it uses less digits than its factorization.

47905367328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 47905367328 in words is "forty-seven billion, nine hundred five million, three hundred sixty-seven thousand, three hundred twenty-eight".