132028416 has 288 divisors, whose sum is σ = 447174000. Its totient is φ = 37158912.

The previous prime is 132028399. The next prime is 132028417. The reversal of 132028416 is 614820231.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 132028416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132028417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4552690 + ... + 4552718.

Almost surely, 2^132028416 is an apocalyptic number.

132028416 is a gapful number since it is divisible by the number (16) 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 132028416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223587000).

132028416 is an abundant number, since it is smaller than the sum of its proper divisors (315145584).

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

132028416 is a wasteful number, since it uses less digits than its factorization.

132028416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 132028416 is about 11490.3618741970. The cubic root of 132028416 is about 509.2008707430.

Adding to 132028416 its reverse (614820231), we get a palindrome (746848647).

The spelling of 132028416 in words is "one hundred thirty-two million, twenty-eight thousand, four hundred sixteen".