1788128 has 48 divisors (see below), whose sum is σ = 3946320. Its totient is φ = 792576.

The previous prime is 1788103. The next prime is 1788139. The reversal of 1788128 is 8218871.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10250 + ... + 10422.

It is an arithmetic number, because the mean of its divisors is an integer number (82215).

2^1788128 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 1788128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1973160).

1788128 is an abundant number, since it is smaller than the sum of its proper divisors (2158192).

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

1788128 is a wasteful number, since it uses less digits than its factorization.

1788128 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 7168, while the sum is 35.

The square root of 1788128 is about 1337.2090337715. The cubic root of 1788128 is about 121.3760131086.

It can be divided in two parts, 17 and 88128, that multiplied together give a square (1498176 = 1224²).

The spelling of 1788128 in words is "one million, seven hundred eighty-eight thousand, one hundred twenty-eight".