2852928 has 112 divisors (see below), whose sum is σ = 9103360. Its totient is φ = 870912.

The previous prime is 2852917. The next prime is 2852939. The reversal of 2852928 is 8292582.

It is an interprime number because it is at equal distance from previous prime (2852917) and next prime (2852939).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2852892 and 2852901.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22401 + ... + 22527.

It is an arithmetic number, because the mean of its divisors is an integer number (81280).

2^2852928 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 2852928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4551680).

2852928 is an abundant number, since it is smaller than the sum of its proper divisors (6250432).

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

2852928 is a wasteful number, since it uses less digits than its factorization.

2852928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 145 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 2852928 is about 1689.0612777516. The cubic root of 2852928 is about 141.8285307133.

The spelling of 2852928 in words is "two million, eight hundred fifty-two thousand, nine hundred twenty-eight".