492128 has 48 divisors (see below), whose sum is σ = 1199520. Its totient is φ = 194688.

The previous prime is 492113. The next prime is 492227. The reversal of 492128 is 821294.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 492097 and 492106.

It is a congruent number.

It is an unprimeable number.

492128 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 37850 + ... + 37862.

It is an arithmetic number, because the mean of its divisors is an integer number (24990).

2⁴⁹²¹²⁸ 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 492128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599760).

492128 is an abundant number, since it is smaller than the sum of its proper divisors (707392).

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

492128 is an equidigital number, since it uses as much as digits as its factorization.

492128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 22 counting only the distinct ones).

The product of its digits is 1152, while the sum is 26.

The square root of 492128 is about 701.5183532881. The cubic root of 492128 is about 78.9513132688.

The spelling of 492128 in words is "four hundred ninety-two thousand, one hundred twenty-eight".