132728220 has 60 divisors (see below), whose sum is σ = 416378424. Its totient is φ = 35393760.

The previous prime is 132728201. The next prime is 132728221. The reversal of 132728220 is 22827231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-4 number, since 4×132728220⁴ (a number of 34 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132728221) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 39346 + ... + 42585.

Almost surely, 2^132728220 is an apocalyptic number.

132728220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132728220 is an abundant number, since it is smaller than the sum of its proper divisors (283650204).

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

132728220 is a wasteful number, since it uses less digits than its factorization.

132728220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81952 (or 81941 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 132728220 is about 11520.7734115380. The cubic root of 132728220 is about 510.0989427411.

The spelling of 132728220 in words is "one hundred thirty-two million, seven hundred twenty-eight thousand, two hundred twenty".