3132640728 has 192 divisors, whose sum is σ = 10348715520. Its totient is φ = 835660800.

The previous prime is 3132640727. The next prime is 3132640741. The reversal of 3132640728 is 8270462313.

It is a happy number.

3132640728 is a `hidden beast` number, since 3 + 1 + 3 + 2 + 640 + 7 + 2 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3132640692 and 3132640701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3132640723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1121013 + ... + 1123803.

It is an arithmetic number, because the mean of its divisors is an integer number (53899560).

Almost surely, 2^3132640728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3132640728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5174357760).

3132640728 is an abundant number, since it is smaller than the sum of its proper divisors (7216074792).

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

3132640728 is a wasteful number, since it uses less digits than its factorization.

3132640728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2958 (or 2951 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3132640728 is about 55969.9984634625. The cubic root of 3132640728 is about 1463.1994525853.

The spelling of 3132640728 in words is "three billion, one hundred thirty-two million, six hundred forty thousand, seven hundred twenty-eight".