5828256 has 144 divisors (see below), whose sum is σ = 19656000. Its totient is φ = 1636992.

The previous prime is 5828239. The next prime is 5828257. The reversal of 5828256 is 6528285.

It is a tau number, because it is divible by the number of its divisors (144).

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

Its product of digits (38400) is a multiple of the sum of its prime factors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 5828256.

It is not an unprimeable number, because it can be changed into a prime (5828257) 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 23 ways as a sum of consecutive naturals, for example, 98755 + ... + 98813.

It is an arithmetic number, because the mean of its divisors is an integer number (136500).

Almost surely, 2^5828256 is an apocalyptic number.

5828256 is a gapful number since it is divisible by the number (56) 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 5828256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9828000).

5828256 is an abundant number, since it is smaller than the sum of its proper divisors (13827744).

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

5828256 is a wasteful number, since it uses less digits than its factorization.

5828256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 71 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 5828256 is about 2414.1781210176. The cubic root of 5828256 is about 179.9614732359.

It can be divided in two parts, 5828 and 256, that added together give a square (6084 = 78²).

The spelling of 5828256 in words is "five million, eight hundred twenty-eight thousand, two hundred fifty-six".