2928168 has 48 divisors (see below), whose sum is σ = 8062080. Its totient is φ = 959904.

The previous prime is 2928151. The next prime is 2928173. The reversal of 2928168 is 8618292.

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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4521 + ... + 5127.

It is an arithmetic number, because the mean of its divisors is an integer number (167960).

2^2928168 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 2928168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4031040).

2928168 is an abundant number, since it is smaller than the sum of its proper divisors (5133912).

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

2928168 is a wasteful number, since it uses less digits than its factorization.

2928168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 679 counting only the distinct ones).

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

The square root of 2928168 is about 1711.1890602736. The cubic root of 2928168 is about 143.0645380032.

The spelling of 2928168 in words is "two million, nine hundred twenty-eight thousand, one hundred sixty-eight".