47429928 has 256 divisors, whose sum is σ = 172032000. Its totient is φ = 11757312.

The previous prime is 47429927. The next prime is 47429929. The reversal of 47429928 is 82992474.

47429928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (47429927) and next prime (47429929).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (47429927) 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 63 ways as a sum of consecutive naturals, for example, 373401 + ... + 373527.

It is an arithmetic number, because the mean of its divisors is an integer number (672000).

Almost surely, 2^47429928 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 47429928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86016000).

47429928 is an abundant number, since it is smaller than the sum of its proper divisors (124602072).

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

47429928 is a wasteful number, since it uses less digits than its factorization.

47429928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 171 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 47429928 is about 6886.9389426653. The cubic root of 47429928 is about 361.9796494568.

The spelling of 47429928 in words is "forty-seven million, four hundred twenty-nine thousand, nine hundred twenty-eight".