2779728 has 40 divisors (see below), whose sum is σ = 8207808. Its totient is φ = 794112.

The previous prime is 2779727. The next prime is 2779741. The reversal of 2779728 is 8279772.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a d-powerful number, because it can be written as 2¹⁷ + 7³ + 7⁴ + 9⁶ + 7⁵ + 2²¹ + 8³ .

It is a self number, because there is not a number n which added to its sum of digits gives 2779728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2779727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3801 + ... + 4472.

2^2779728 is an apocalyptic number.

2779728 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2779728 is an abundant number, since it is smaller than the sum of its proper divisors (5428080).

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

2779728 is a wasteful number, since it uses less digits than its factorization.

2779728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8291 (or 8285 counting only the distinct ones).

The product of its digits is 98784, while the sum is 42.

The square root of 2779728 is about 1667.2516306785. The cubic root of 2779728 is about 140.6050008102.

The spelling of 2779728 in words is "two million, seven hundred seventy-nine thousand, seven hundred twenty-eight".