1822128 has 160 divisors (see below), whose sum is σ = 6428160. Its totient is φ = 430080.

The previous prime is 1822123. The next prime is 1822147. The reversal of 1822128 is 8212281.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1822098 and 1822107.

It is not an unprimeable number, because it can be changed into a prime (1822123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62818 + ... + 62846.

It is an arithmetic number, because the mean of its divisors is an integer number (40176).

2^1822128 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 1822128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3214080).

1822128 is an abundant number, since it is smaller than the sum of its proper divisors (4606032).

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

1822128 is a wasteful number, since it uses less digits than its factorization.

1822128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 69 counting only the distinct ones).

The product of its digits is 512, while the sum is 24.

The square root of 1822128 is about 1349.8622151909. The cubic root of 1822128 is about 122.1404813718.

The spelling of 1822128 in words is "one million, eight hundred twenty-two thousand, one hundred twenty-eight".