1792128 has 64 divisors (see below), whose sum is σ = 5140800. Its totient is φ = 549888.

The previous prime is 1792121. The next prime is 1792129. The reversal of 1792128 is 8212971.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nialpdrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 1792095 and 1792104.

It is not an unprimeable number, because it can be changed into a prime (1792121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4813 + ... + 5171.

It is an arithmetic number, because the mean of its divisors is an integer number (80325).

2^1792128 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 1792128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2570400).

1792128 is an abundant number, since it is smaller than the sum of its proper divisors (3348672).

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

1792128 is a wasteful number, since it uses less digits than its factorization.

1792128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 377 counting only the distinct ones).

The product of its digits is 2016, while the sum is 30.

The square root of 1792128 is about 1338.7038507452. The cubic root of 1792128 is about 121.4664507957.

The spelling of 1792128 in words is "one million, seven hundred ninety-two thousand, one hundred twenty-eight".