132328728 has 80 divisors (see below), whose sum is σ = 423606480. Its totient is φ = 37806912.

The previous prime is 132328727. The next prime is 132328741. The reversal of 132328728 is 827823231.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 132328692 and 132328701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132328723) 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, 10051 + ... + 19122.

It is an arithmetic number, because the mean of its divisors is an integer number (5295081).

Almost surely, 2^132328728 is an apocalyptic number.

132328728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

132328728 is an abundant number, since it is smaller than the sum of its proper divisors (291277752).

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

132328728 is a wasteful number, since it uses less digits than its factorization.

132328728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29198 (or 29185 counting only the distinct ones).

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

The square root of 132328728 is about 11503.4224472546. The cubic root of 132328728 is about 509.5866547014.

The spelling of 132328728 in words is "one hundred thirty-two million, three hundred twenty-eight thousand, seven hundred twenty-eight".