234528 has 48 divisors (see below), whose sum is σ = 705600. Its totient is φ = 66816.

The previous prime is 234527. The next prime is 234529. The reversal of 234528 is 825432.

It is an interprime number because it is at equal distance from previous prime (234527) and next prime (234529).

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 (24).

It is an Ulam number.

It is a d-powerful number, because it can be written as 2¹³ + 3⁵ + 5⁷ + 4⁷ + 2¹⁷ + 8³ .

It is a junction number, because it is equal to n+sod(n) for n = 234498 and 234507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234527) 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, 498 + ... + 846.

It is an arithmetic number, because the mean of its divisors is an integer number (14700).

2²³⁴⁵²⁸ is an apocalyptic number.

234528 is a gapful number since it is divisible by the number (28) 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 234528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352800).

234528 is an abundant number, since it is smaller than the sum of its proper divisors (471072).

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

234528 is a wasteful number, since it uses less digits than its factorization.

234528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 361 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 234528 is about 484.2809102164. The cubic root of 234528 is about 61.6687151336.

The spelling of 234528 in words is "two hundred thirty-four thousand, five hundred twenty-eight".