47041128 has 64 divisors (see below), whose sum is σ = 132192000. Its totient is φ = 15497856.

The previous prime is 47041123. The next prime is 47041139. The reversal of 47041128 is 82114074.

47041128 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 (27).

It is not an unprimeable number, because it can be changed into a prime (47041123) 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 15 ways as a sum of consecutive naturals, for example, 18001 + ... + 20447.

It is an arithmetic number, because the mean of its divisors is an integer number (2065500).

Almost surely, 2^47041128 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 47041128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66096000).

47041128 is an abundant number, since it is smaller than the sum of its proper divisors (85150872).

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

47041128 is a wasteful number, since it uses less digits than its factorization.

47041128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2551 (or 2541 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 47041128 is about 6858.6535121699. The cubic root of 47041128 is about 360.9878424299.

It can be divided in two parts, 4704 and 1128, that added together give a cube (5832 = 18³).

The spelling of 47041128 in words is "forty-seven million, forty-one thousand, one hundred twenty-eight".