3228973272 has 192 divisors, whose sum is σ = 10285704000. Its totient is φ = 896044032.

The previous prime is 3228973261. The next prime is 3228973283. The reversal of 3228973272 is 2723798223.

3228973272 is a `hidden beast` number, since 32 + 289 + 73 + 272 = 666.

It is an interprime number because it is at equal distance from previous prime (3228973261) and next prime (3228973283).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2911054 + ... + 2912162.

It is an arithmetic number, because the mean of its divisors is an integer number (53571375).

Almost surely, 2^3228973272 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 3228973272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5142852000).

3228973272 is an abundant number, since it is smaller than the sum of its proper divisors (7056730728).

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

3228973272 is a wasteful number, since it uses less digits than its factorization.

3228973272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290 (or 1283 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 3228973272 is about 56824.0553991001. The cubic root of 3228973272 is about 1478.0466792674.

The spelling of 3228973272 in words is "three billion, two hundred twenty-eight million, nine hundred seventy-three thousand, two hundred seventy-two".