132928032 has 96 divisors (see below), whose sum is σ = 377540352. Its totient is φ = 40792064.

The previous prime is 132927983. The next prime is 132928039. The reversal of 132928032 is 230829231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (132928039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75838 + ... + 77570.

It is an arithmetic number, because the mean of its divisors is an integer number (3932712).

Almost surely, 2^132928032 is an apocalyptic number.

132928032 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 132928032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188770176).

132928032 is an abundant number, since it is smaller than the sum of its proper divisors (244612320).

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

132928032 is a wasteful number, since it uses less digits than its factorization.

132928032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810 (or 1802 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 132928032 is about 11529.4419639460. The cubic root of 132928032 is about 510.3547858128.

The spelling of 132928032 in words is "one hundred thirty-two million, nine hundred twenty-eight thousand, thirty-two".