47606328 has 192 divisors, whose sum is σ = 166533120. Its totient is φ = 11923200.

The previous prime is 47606323. The next prime is 47606329. The reversal of 47606328 is 82360674.

47606328 is a `hidden beast` number, since 47 + 606 + 3 + 2 + 8 = 666.

47606328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 47606292 and 47606301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47606323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171726 + ... + 172002.

It is an arithmetic number, because the mean of its divisors is an integer number (867360).

Almost surely, 2^47606328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47606328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83266560).

47606328 is an abundant number, since it is smaller than the sum of its proper divisors (118926792).

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

47606328 is a wasteful number, since it uses less digits than its factorization.

47606328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 47606328 is about 6899.7339079127. The cubic root of 47606328 is about 362.4278489775.

The spelling of 47606328 in words is "forty-seven million, six hundred six thousand, three hundred twenty-eight".