1128192 has 72 divisors (see below), whose sum is σ = 3262224. Its totient is φ = 344064.

The previous prime is 1128181. The next prime is 1128209. The reversal of 1128192 is 2918211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9928 + ... + 10040.

2^1128192 is an apocalyptic number.

1128192 is a gapful number since it is divisible by the number (12) 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 1128192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631112).

1128192 is an abundant number, since it is smaller than the sum of its proper divisors (2134032).

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

1128192 is a wasteful number, since it uses less digits than its factorization.

1128192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 131 counting only the distinct ones).

The product of its digits is 288, while the sum is 24.

The square root of 1128192 is about 1062.1638291714. The cubic root of 1128192 is about 104.1024631205.

It can be divided in two parts, 11 and 28192, that added together give a triangular number (28203 = T₂₃₇).

The spelling of 1128192 in words is "one million, one hundred twenty-eight thousand, one hundred ninety-two".