3192728000 has 448 divisors, whose sum is σ = 10133600256. Its totient is φ = 967680000.

The previous prime is 3192727963. The next prime is 3192728009. The reversal of 3192728000 is 8272913.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3192728009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43735964 + ... + 43736036.

Almost surely, 2^3192728000 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 3192728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5066800128).

3192728000 is an abundant number, since it is smaller than the sum of its proper divisors (6940872256).

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

3192728000 is a wasteful number, since it uses less digits than its factorization.

3192728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 3192728000 is about 56504.2299301566. The cubic root of 3192728000 is about 1472.4954912748.

The spelling of 3192728000 in words is "three billion, one hundred ninety-two million, seven hundred twenty-eight thousand".