132728832 has 144 divisors (see below), whose sum is σ = 404586000. Its totient is φ = 41803776.

The previous prime is 132728797. The next prime is 132728833. The reversal of 132728832 is 238827231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (132728833) 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, 350019 + ... + 350397.

It is an arithmetic number, because the mean of its divisors is an integer number (2809625).

Almost surely, 2^132728832 is an apocalyptic number.

132728832 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 132728832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202293000).

132728832 is an abundant number, since it is smaller than the sum of its proper divisors (271857168).

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

132728832 is a wasteful number, since it uses less digits than its factorization.

132728832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 403 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 132728832 is about 11520.7999722242. The cubic root of 132728832 is about 510.0997267493.

The spelling of 132728832 in words is "one hundred thirty-two million, seven hundred twenty-eight thousand, eight hundred thirty-two".