2168928 has 72 divisors (see below), whose sum is σ = 6545448. Its totient is φ = 678912.

The previous prime is 2168921. The next prime is 2168951. The reversal of 2168928 is 8298612.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 2168892 and 2168901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2168921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4675 + ... + 5117.

It is an arithmetic number, because the mean of its divisors is an integer number (90909).

2^2168928 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 2168928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3272724).

2168928 is an abundant number, since it is smaller than the sum of its proper divisors (4376520).

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

2168928 is a wasteful number, since it uses less digits than its factorization.

2168928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 465 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 2168928 is about 1472.7280808079. The cubic root of 2168928 is about 129.4439365161.

The spelling of 2168928 in words is "two million, one hundred sixty-eight thousand, nine hundred twenty-eight".