1828256 has 48 divisors (see below), whose sum is σ = 3951360. Its totient is φ = 829440.

The previous prime is 1828249. The next prime is 1828259. The reversal of 1828256 is 6528281.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1828259) 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 7 ways as a sum of consecutive naturals, for example, 18800 + ... + 18896.

It is an arithmetic number, because the mean of its divisors is an integer number (82320).

2^1828256 is an apocalyptic number.

1828256 is a gapful number since it is divisible by the number (16) 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 1828256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1975680).

1828256 is an abundant number, since it is smaller than the sum of its proper divisors (2123104).

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

1828256 is a wasteful number, since it uses less digits than its factorization.

1828256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 149 counting only the distinct ones).

The product of its digits is 7680, while the sum is 32.

The square root of 1828256 is about 1352.1301712483. The cubic root of 1828256 is about 122.2772517425.

The spelling of 1828256 in words is "one million, eight hundred twenty-eight thousand, two hundred fifty-six".