47528312832 has 1152 divisors, whose sum is σ = 195799705920. Its totient is φ = 10899947520.

The previous prime is 47528312771. The next prime is 47528312837. The reversal of 47528312832 is 23821382574.

47528312832 is a `hidden beast` number, since 47 + 528 + 3 + 1 + 2 + 83 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (47528312837) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2066448373 + ... + 2066448395.

Almost surely, 2^47528312832 is an apocalyptic number.

47528312832 is a gapful number since it is divisible by the number (42) 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 47528312832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97899852960).

47528312832 is an abundant number, since it is smaller than the sum of its proper divisors (148271393088).

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

47528312832 is a wasteful number, since it uses less digits than its factorization.

47528312832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 59 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The spelling of 47528312832 in words is "forty-seven billion, five hundred twenty-eight million, three hundred twelve thousand, eight hundred thirty-two".