47149128 has 160 divisors (see below), whose sum is σ = 147886200. Its totient is φ = 13934592.

The previous prime is 47149117. The next prime is 47149129. The reversal of 47149128 is 82194174.

It can be written as a sum of positive squares in 4 ways, for example, as 27060804 + 20088324 = 5202^2 + 4482^2 .

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 = 47149092 and 47149101.

It is not an unprimeable number, because it can be changed into a prime (47149129) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 244200 + ... + 244392.

Almost surely, 2^47149128 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 47149128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73943100).

47149128 is an abundant number, since it is smaller than the sum of its proper divisors (100737072).

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

47149128 is a wasteful number, since it uses less digits than its factorization.

47149128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 240 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 47149128 is about 6866.5222638538. The cubic root of 47149128 is about 361.2638908624.

The spelling of 47149128 in words is "forty-seven million, one hundred forty-nine thousand, one hundred twenty-eight".