1628112 has 40 divisors (see below), whose sum is σ = 4258656. Its totient is φ = 535936.

The previous prime is 1628093. The next prime is 1628117. The reversal of 1628112 is 2118261.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1628117) 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, 4978 + ... + 5294.

2^1628112 is an apocalyptic number.

1628112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1628112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2129328).

1628112 is an abundant number, since it is smaller than the sum of its proper divisors (2630544).

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

1628112 is a wasteful number, since it uses less digits than its factorization.

1628112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 429 counting only the distinct ones).

The product of its digits is 192, while the sum is 21.

The square root of 1628112 is about 1275.9749213836. The cubic root of 1628112 is about 117.6417363082.

The spelling of 1628112 in words is "one million, six hundred twenty-eight thousand, one hundred twelve".