2780928 has 108 divisors (see below), whose sum is σ = 8609328. Its totient is φ = 860160.

The previous prime is 2780923. The next prime is 2780933. The reversal of 2780928 is 8290872.

It is an interprime number because it is at equal distance from previous prime (2780923) and next prime (2780933).

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

It is a junction number, because it is equal to n+sod(n) for n = 2780892 and 2780901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2780923) 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, 39133 + ... + 39203.

It is an arithmetic number, because the mean of its divisors is an integer number (79716).

2^2780928 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 2780928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4304664).

2780928 is an abundant number, since it is smaller than the sum of its proper divisors (5828400).

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

2780928 is a wasteful number, since it uses less digits than its factorization.

2780928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2780928 is about 1667.6114655399. The cubic root of 2780928 is about 140.6252308144.

The spelling of 2780928 in words is "two million, seven hundred eighty thousand, nine hundred twenty-eight".