132728288 has 144 divisors (see below), whose sum is σ = 337841280. Its totient is φ = 50223360.

The previous prime is 132728279. The next prime is 132728291. The reversal of 132728288 is 882827231.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1599095 + ... + 1599177.

It is an arithmetic number, because the mean of its divisors is an integer number (2346120).

Almost surely, 2^132728288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132728288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168920640).

132728288 is an abundant number, since it is smaller than the sum of its proper divisors (205112992).

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

132728288 is a wasteful number, since it uses less digits than its factorization.

132728288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 162 counting only the distinct ones).

The product of its digits is 86016, while the sum is 41.

The square root of 132728288 is about 11520.7763627283. The cubic root of 132728288 is about 510.0990298532.

The spelling of 132728288 in words is "one hundred thirty-two million, seven hundred twenty-eight thousand, two hundred eighty-eight".