47458728 has 48 divisors (see below), whose sum is σ = 129336480. Its totient is φ = 15720864.

The previous prime is 47458727. The next prime is 47458769. The reversal of 47458728 is 82785474.

47458728 is a `hidden beast` number, since 47 + 4 + 587 + 28 = 666.

It is not an unprimeable number, because it can be changed into a prime (47458721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10051 + ... + 13997.

It is an arithmetic number, because the mean of its divisors is an integer number (2694510).

Almost surely, 2^47458728 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 47458728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64668240).

47458728 is an abundant number, since it is smaller than the sum of its proper divisors (81877752).

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

47458728 is a wasteful number, since it uses less digits than its factorization.

47458728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4126 (or 4119 counting only the distinct ones).

The product of its digits is 501760, while the sum is 45.

The square root of 47458728 is about 6889.0295397828. The cubic root of 47458728 is about 362.0529007069.

The spelling of 47458728 in words is "forty-seven million, four hundred fifty-eight thousand, seven hundred twenty-eight".