3802728 has 48 divisors (see below), whose sum is σ = 10041120. Its totient is φ = 1197856.

The previous prime is 3802699. The next prime is 3802753. The reversal of 3802728 is 8272083.

It is a junction number, because it is equal to n+sod(n) for n = 3802695 and 3802704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45775 + ... + 45857.

It is an arithmetic number, because the mean of its divisors is an integer number (209190).

Almost surely, 2^3802728 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 3802728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5020560).

3802728 is an abundant number, since it is smaller than the sum of its proper divisors (6238392).

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

3802728 is a wasteful number, since it uses less digits than its factorization.

3802728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 3802728 is about 1950.0584606621. The cubic root of 3802728 is about 156.0864084083.

The spelling of 3802728 in words is "three million, eight hundred two thousand, seven hundred twenty-eight".