128952 has 40 divisors (see below), whose sum is σ = 363000. Its totient is φ = 42768.

The previous prime is 128951. The next prime is 128959. The reversal of 128952 is 259821.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128951) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 549 + ... + 747.

It is an arithmetic number, because the mean of its divisors is an integer number (9075).

2¹²⁸⁹⁵² is an apocalyptic number.

128952 is a gapful number since it is divisible by the number (12) 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 128952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181500).

128952 is an abundant number, since it is smaller than the sum of its proper divisors (234048).

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

128952 is a wasteful number, since it uses less digits than its factorization.

128952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 204 counting only the distinct ones).

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

The square root of 128952 is about 359.0988721787. The cubic root of 128952 is about 50.5214756877.

The spelling of 128952 in words is "one hundred twenty-eight thousand, nine hundred fifty-two".