47528 has 16 divisors (see below), whose sum is σ = 96180. Its totient is φ = 21888.

The previous prime is 47527. The next prime is 47533. The reversal of 47528 is 82574.

47528 = T₄₇ + T₄₈ + ... + T₇₂.

47528 is nontrivially palindromic in base 5.

47528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 47524 + 4 = 218^2 + 2^2 .

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 47497 and 47506.

It is not an unprimeable number, because it can be changed into a prime (47521) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 125 + ... + 332.

2⁴⁷⁵²⁸ is an apocalyptic number.

It is an amenable number.

47528 is an abundant number, since it is smaller than the sum of its proper divisors (48652).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48090).

47528 is a wasteful number, since it uses less digits than its factorization.

47528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 472 counting only the distinct ones).

The product of its digits is 2240, while the sum is 26.

The square root of 47528 is about 218.0091741189. The cubic root of 47528 is about 36.2228969029. Note that the first 3 decimals are identical.

It can be divided in two parts, 47 and 528, that added together give a palindrome (575).

The spelling of 47528 in words is "forty-seven thousand, five hundred twenty-eight".