1928256 has 84 divisors (see below), whose sum is σ = 5675376. Its totient is φ = 577280.

The previous prime is 1928237. The next prime is 1928257. The reversal of 1928256 is 6528291.

It is a Harshad number since it is a multiple of its sum of digits (33).

Its product of digits (8640) is a multiple of the sum of its prime factors (120).

It is not an unprimeable number, because it can be changed into a prime (1928257) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23191 + ... + 23273.

It is an arithmetic number, because the mean of its divisors is an integer number (67564).

2^1928256 is an apocalyptic number.

1928256 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 1928256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2837688).

1928256 is an abundant number, since it is smaller than the sum of its proper divisors (3747120).

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

1928256 is a wasteful number, since it uses less digits than its factorization.

1928256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 99 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 1928256 is about 1388.6165777492. The cubic root of 1928256 is about 124.4671934979.

It can be divided in two parts, 192 and 8256, that added together give a palindrome (8448).

The spelling of 1928256 in words is "one million, nine hundred twenty-eight thousand, two hundred fifty-six".