2777328 has 50 divisors (see below), whose sum is σ = 8042144. Its totient is φ = 925344.

The previous prime is 2777317. The next prime is 2777329. The reversal of 2777328 is 8237772.

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 = 2777292 and 2777301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2777329) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 225 + ... + 2367.

2^2777328 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 2777328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4021072).

2777328 is an abundant number, since it is smaller than the sum of its proper divisors (5264816).

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

2777328 is a wasteful number, since it uses less digits than its factorization.

2777328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163 (or 2148 counting only the distinct ones).

The product of its digits is 32928, while the sum is 36.

The square root of 2777328 is about 1666.5317278708. The cubic root of 2777328 is about 140.5645233287.

The spelling of 2777328 in words is "two million, seven hundred seventy-seven thousand, three hundred twenty-eight".