47284128 has 48 divisors (see below), whose sum is σ = 137914560. Its totient is φ = 15761088.

The previous prime is 47284121. The next prime is 47284147. The reversal of 47284128 is 82148274.

It is a tau number, because it is divible by the number of its divisors (48).

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 = 47284092 and 47284101.

It is not an unprimeable number, because it can be changed into a prime (47284121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26500 + ... + 28227.

It is an arithmetic number, because the mean of its divisors is an integer number (2873220).

Almost surely, 2^47284128 is an apocalyptic number.

47284128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

47284128 is an abundant number, since it is smaller than the sum of its proper divisors (90630432).

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

47284128 is a wasteful number, since it uses less digits than its factorization.

47284128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54746 (or 54732 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 47284128 is about 6876.3455410559. The cubic root of 47284128 is about 361.6083592450.

The spelling of 47284128 in words is "forty-seven million, two hundred eighty-four thousand, one hundred twenty-eight".