1768928 has 48 divisors (see below), whose sum is σ = 4082400. Its totient is φ = 738816.

The previous prime is 1768927. The next prime is 1768937. The reversal of 1768928 is 8298671.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1768927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11798 + ... + 11946.

It is an arithmetic number, because the mean of its divisors is an integer number (85050).

2^1768928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1768928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2041200).

1768928 is an abundant number, since it is smaller than the sum of its proper divisors (2313472).

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

1768928 is a wasteful number, since it uses less digits than its factorization.

1768928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 211 counting only the distinct ones).

The product of its digits is 48384, while the sum is 41.

The square root of 1768928 is about 1330.0105262741. The cubic root of 1768928 is about 120.9400244628.

The spelling of 1768928 in words is "one million, seven hundred sixty-eight thousand, nine hundred twenty-eight".