2982728 has 32 divisors (see below), whose sum is σ = 6528000. Its totient is φ = 1277136.

The previous prime is 2982697. The next prime is 2982751. The reversal of 2982728 is 8272892.

2982728 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2982691 and 2982700.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2201 + ... + 3287.

It is an arithmetic number, because the mean of its divisors is an integer number (204000).

2^2982728 is an apocalyptic number.

2982728 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 2982728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3264000).

2982728 is an abundant number, since it is smaller than the sum of its proper divisors (3545272).

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

2982728 is a wasteful number, since it uses less digits than its factorization.

2982728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1096 counting only the distinct ones).

The product of its digits is 32256, while the sum is 38.

The square root of 2982728 is about 1727.0576133992. The cubic root of 2982728 is about 143.9476404290.

The spelling of 2982728 in words is "two million, nine hundred eighty-two thousand, seven hundred twenty-eight".