2028192 has 48 divisors (see below), whose sum is σ = 5477472. Its totient is φ = 656640.

The previous prime is 2028179. The next prime is 2028197. The reversal of 2028192 is 2918202.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2028192² = 8227125577728, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2028197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3267 + ... + 3837.

It is an arithmetic number, because the mean of its divisors is an integer number (114114).

2^2028192 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 2028192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2738736).

2028192 is an abundant number, since it is smaller than the sum of its proper divisors (3449280).

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

2028192 is a wasteful number, since it uses less digits than its factorization.

2028192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 2028192 is about 1424.1460599250. The cubic root of 2028192 is about 126.5813398870.

It can be divided in two parts, 2028 and 192, that multiplied together give a square (389376 = 624²).

The spelling of 2028192 in words is "two million, twenty-eight thousand, one hundred ninety-two".