128832 has 56 divisors (see below), whose sum is σ = 377952. Its totient is φ = 38400.

The previous prime is 128831. The next prime is 128833. The reversal of 128832 is 238821.

Added to its reverse (238821) it gives a triangular number (367653 = T₈₅₇).

It is an interprime number because it is at equal distance from previous prime (128831) and next prime (128833).

It is a Smith number, since the sum of its digits (24) 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 (24).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128831) 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, 2082 + ... + 2142.

2¹²⁸⁸³² is an apocalyptic number.

128832 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 128832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188976).

128832 is an abundant number, since it is smaller than the sum of its proper divisors (249120).

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

128832 is a wasteful number, since it uses less digits than its factorization.

128832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 77 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 128832 is about 358.9317483868. The cubic root of 128832 is about 50.5057994189.

Adding to 128832 its product of digits (768), we get a square (129600 = 360²).

Adding to 128832 its reverse (238821), we get a triangular number (367653 = T₈₅₇).

The spelling of 128832 in words is "one hundred twenty-eight thousand, eight hundred thirty-two".