47005728 has 96 divisors (see below), whose sum is σ = 153861120. Its totient is φ = 12207360.

The previous prime is 47005709. The next prime is 47005733. The reversal of 47005728 is 82750074.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4213 + ... + 10571.

It is an arithmetic number, because the mean of its divisors is an integer number (1602720).

Almost surely, 2^47005728 is an apocalyptic number.

47005728 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 47005728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76930560).

47005728 is an abundant number, since it is smaller than the sum of its proper divisors (106855392).

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

47005728 is a wasteful number, since it uses less digits than its factorization.

47005728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6390 (or 6382 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 47005728 is about 6856.0723450092. The cubic root of 47005728 is about 360.8972679544.

The spelling of 47005728 in words is "forty-seven million, five thousand, seven hundred twenty-eight".