131032728 has 80 divisors (see below), whose sum is σ = 368648280. Its totient is φ = 43483392.

The previous prime is 131032723. The next prime is 131032751. The reversal of 131032728 is 827230131.

131032728 is a `hidden beast` number, since 1 + 310 + 327 + 28 = 666.

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 (131032723) 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, 280351 + ... + 280817.

Almost surely, 2^131032728 is an apocalyptic number.

131032728 is a gapful number since it is divisible by the number (18) 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 131032728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184324140).

131032728 is an abundant number, since it is smaller than the sum of its proper divisors (237615552).

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

131032728 is a wasteful number, since it uses less digits than its factorization.

131032728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 131032728 is about 11446.9527822910. The cubic root of 131032728 is about 507.9175988032.

Adding to 131032728 its reverse (827230131), we get a palindrome (958262859).

The spelling of 131032728 in words is "one hundred thirty-one million, thirty-two thousand, seven hundred twenty-eight".