1808928 has 72 divisors (see below), whose sum is σ = 5621616. Its totient is φ = 547200.

The previous prime is 1808923. The next prime is 1808951. The reversal of 1808928 is 8298081.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 1808892 and 1808901.

It is not an unprimeable number, because it can be changed into a prime (1808921) 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, 2883 + ... + 3453.

It is an arithmetic number, because the mean of its divisors is an integer number (78078).

2^1808928 is an apocalyptic number.

1808928 is a gapful number since it is divisible by the number (18) 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 1808928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2810808).

1808928 is an abundant number, since it is smaller than the sum of its proper divisors (3812688).

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

1808928 is a wasteful number, since it uses less digits than its factorization.

1808928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 1808928 is about 1344.9639400371. The cubic root of 1808928 is about 121.8448264554.

The spelling of 1808928 in words is "one million, eight hundred eight thousand, nine hundred twenty-eight".