1628192 has 48 divisors (see below), whose sum is σ = 3524472. Its totient is φ = 737280.

The previous prime is 1628191. The next prime is 1628197. The reversal of 1628192 is 2918261.

It can be written as a sum of positive squares in 4 ways, for example, as 1263376 + 364816 = 1124^2 + 604^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1628191) by changing a digit.

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, 22268 + ... + 22340.

2^1628192 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 1628192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762236).

1628192 is an abundant number, since it is smaller than the sum of its proper divisors (1896280).

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

1628192 is a wasteful number, since it uses less digits than its factorization.

1628192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 133 counting only the distinct ones).

The product of its digits is 1728, while the sum is 29.

The square root of 1628192 is about 1276.0062695771. The cubic root of 1628192 is about 117.6436631177.

It can be divided in two parts, 162 and 8192, that multiplied together give a square (1327104 = 1152²).

The spelling of 1628192 in words is "one million, six hundred twenty-eight thousand, one hundred ninety-two".