3132976728 has 128 divisors (see below), whose sum is σ = 9446400000. Its totient is φ = 845873280.

The previous prime is 3132976723. The next prime is 3132976771. The reversal of 3132976728 is 8276792313.

It is a Cunningham number, because it is equal to 55973²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3132976723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1566273 + ... + 1568271.

It is an arithmetic number, because the mean of its divisors is an integer number (73800000).

Almost surely, 2^3132976728 is an apocalyptic number.

3132976728 is a gapful number since it is divisible by the number (38) 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 3132976728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4723200000).

3132976728 is an abundant number, since it is smaller than the sum of its proper divisors (6313423272).

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

3132976728 is a wasteful number, since it uses less digits than its factorization.

3132976728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2525 (or 2521 counting only the distinct ones).

The product of its digits is 762048, while the sum is 48.

The square root of 3132976728 is about 55972.9999910671. Note that the first 5 decimals coincide. The cubic root of 3132976728 is about 1463.2517638761.

The spelling of 3132976728 in words is "three billion, one hundred thirty-two million, nine hundred seventy-six thousand, seven hundred twenty-eight".