3283876728 has 256 divisors, whose sum is σ = 10230451200. Its totient is φ = 979776000.

The previous prime is 3283876669. The next prime is 3283876733. The reversal of 3283876728 is 8276783823.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21747453 + ... + 21747603.

It is an arithmetic number, because the mean of its divisors is an integer number (39962700).

Almost surely, 2^3283876728 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 3283876728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5115225600).

3283876728 is an abundant number, since it is smaller than the sum of its proper divisors (6946574472).

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

3283876728 is a wasteful number, since it uses less digits than its factorization.

3283876728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 280 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The square root of 3283876728 is about 57305.1195618681. The cubic root of 3283876728 is about 1486.3769047457.

The spelling of 3283876728 in words is "three billion, two hundred eighty-three million, eight hundred seventy-six thousand, seven hundred twenty-eight".