2928816 has 90 divisors (see below), whose sum is σ = 9154548. Its totient is φ = 866880.

The previous prime is 2928791. The next prime is 2928817. The reversal of 2928816 is 6188292.

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 not an unprimeable number, because it can be changed into a prime (2928817) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 68091 + ... + 68133.

2^2928816 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 2928816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4577274).

2928816 is an abundant number, since it is smaller than the sum of its proper divisors (6225732).

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

2928816 is a wasteful number, since it uses less digits than its factorization.

2928816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 59 counting only the distinct ones).

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

The square root of 2928816 is about 1711.3783918234. The cubic root of 2928816 is about 143.0750905606.

The spelling of 2928816 in words is "two million, nine hundred twenty-eight thousand, eight hundred sixteen".