2797728 has 48 divisors (see below), whose sum is σ = 7430976. Its totient is φ = 921600.

The previous prime is 2797727. The next prime is 2797733. The reversal of 2797728 is 8277972.

2797728 = T₁₁₂ + T₁₁₃ + ... + T₂₆₂.

It is a tau number, because it is divible by the number of its divisors (48).

It is a d-powerful number, because it can be written as 2¹¹ + 7⁴ + 9⁶ + 7⁵ + 7⁵ + 2¹⁷ + 8⁷ .

It is a self number, because there is not a number n which added to its sum of digits gives 2797728.

It is not an unprimeable number, because it can be changed into a prime (2797723) 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, 14400 + ... + 14592.

It is an arithmetic number, because the mean of its divisors is an integer number (154812).

2^2797728 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 2797728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3715488).

2797728 is an abundant number, since it is smaller than the sum of its proper divisors (4633248).

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

2797728 is a wasteful number, since it uses less digits than its factorization.

2797728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 349 counting only the distinct ones).

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

The square root of 2797728 is about 1672.6410254445. The cubic root of 2797728 is about 140.9078417951.

The spelling of 2797728 in words is "two million, seven hundred ninety-seven thousand, seven hundred twenty-eight".