47132886528 has 960 divisors, whose sum is σ = 182170340352. Its totient is φ = 11824496640.

The previous prime is 47132886517. The next prime is 47132886539. The reversal of 47132886528 is 82568823174.

47132886528 is a `hidden beast` number, since 4 + 7 + 1 + 32 + 8 + 86 + 528 = 666.

It is an interprime number because it is at equal distance from previous prime (47132886517) and next prime (47132886539).

It is a super-2 number, since 2×47132886528² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 260402598 + ... + 260402778.

Almost surely, 2^47132886528 is an apocalyptic number.

47132886528 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 47132886528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91085170176).

47132886528 is an abundant number, since it is smaller than the sum of its proper divisors (135037453824).

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

47132886528 is a wasteful number, since it uses less digits than its factorization.

47132886528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 229 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The spelling of 47132886528 in words is "forty-seven billion, one hundred thirty-two million, eight hundred eighty-six thousand, five hundred twenty-eight".