129528 has 48 divisors (see below), whose sum is σ = 402480. Its totient is φ = 36864.

The previous prime is 129527. The next prime is 129529. The reversal of 129528 is 825921.

It is an interprime number because it is at equal distance from previous prime (129527) and next prime (129529).

It is an Ulam number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129527) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 376 + ... + 632.

It is an arithmetic number, because the mean of its divisors is an integer number (8385).

2¹²⁹⁵²⁸ is an apocalyptic number.

129528 is a gapful number since it is divisible by the number (18) 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 129528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201240).

129528 is an abundant number, since it is smaller than the sum of its proper divisors (272952).

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

129528 is a wasteful number, since it uses less digits than its factorization.

129528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 269 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 129528 is about 359.8999861073. The cubic root of 129528 is about 50.5965867081.

The spelling of 129528 in words is "one hundred twenty-nine thousand, five hundred twenty-eight".