2828595 has 64 divisors (see below), whose sum is σ = 5898240. Its totient is φ = 1123200.

The previous prime is 2828593. The next prime is 2828597. The reversal of 2828595 is 5958282.

2828595 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2828593) and next prime (2828597).

It is not a de Polignac number, because 2828595 - 2¹ = 2828593 is a prime.

It is a d-powerful number, because it can be written as 2⁸ + 8⁴ + 2¹⁹ + 8⁶ + 5⁷ + 9⁴ + 5⁹ .

2828595 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2828593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35766 + ... + 35844.

It is an arithmetic number, because the mean of its divisors is an integer number (92160).

2^2828595 is an apocalyptic number.

2828595 is an abundant number, since it is smaller than the sum of its proper divisors (3069645).

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

2828595 is a wasteful number, since it uses less digits than its factorization.

2828595 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136.

The product of its digits is 57600, while the sum is 39.

The square root of 2828595 is about 1681.8427393784. The cubic root of 2828595 is about 141.4241541029.

The spelling of 2828595 in words is "two million, eight hundred twenty-eight thousand, five hundred ninety-five".