34528 has 24 divisors (see below), whose sum is σ = 74088. Its totient is φ = 15744.

The previous prime is 34519. The next prime is 34537. The reversal of 34528 is 82543.

It is an interprime number because it is at equal distance from previous prime (34519) and next prime (34537).

It is a d-powerful number, because it can be written as 3⁶ + 4⁵ + 5 + 2 + 8⁵ .

It is a junction number, because it is equal to n+sod(n) for n = 34499 and 34508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 375 + ... + 457.

It is an arithmetic number, because the mean of its divisors is an integer number (3087).

2³⁴⁵²⁸ 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 34528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37044).

34528 is an abundant number, since it is smaller than the sum of its proper divisors (39560).

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

34528 is a wasteful number, since it uses less digits than its factorization.

34528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 98 counting only the distinct ones).

The product of its digits is 960, while the sum is 22.

The square root of 34528 is about 185.8171143894. The cubic root of 34528 is about 32.5629548961.

It can be divided in two parts, 345 and 28, that added together give a palindrome (373).

The spelling of 34528 in words is "thirty-four thousand, five hundred twenty-eight".