2821728 has 192 divisors, whose sum is σ = 10160640. Its totient is φ = 663552.

The previous prime is 2821717. The next prime is 2821733. The reversal of 2821728 is 8271282.

It is a happy number.

2821728 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2821695 and 2821704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148503 + ... + 148521.

It is an arithmetic number, because the mean of its divisors is an integer number (52920).

2^2821728 is an apocalyptic number.

2821728 is a gapful number since it is divisible by the number (28) 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 2821728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5080320).

2821728 is an abundant number, since it is smaller than the sum of its proper divisors (7338912).

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

2821728 is a wasteful number, since it uses less digits than its factorization.

2821728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 61 counting only the distinct ones).

The product of its digits is 3584, while the sum is 30.

The square root of 2821728 is about 1679.7999880938. The cubic root of 2821728 is about 141.3096158928.

The spelling of 2821728 in words is "two million, eight hundred twenty-one thousand, seven hundred twenty-eight".