2884728 has 96 divisors (see below), whose sum is σ = 9192960. Its totient is φ = 745920.

The previous prime is 2884723. The next prime is 2884733. The reversal of 2884728 is 8274882.

2884728 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2884723) and next prime (2884733).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2884723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12825 + ... + 13047.

It is an arithmetic number, because the mean of its divisors is an integer number (95760).

2^2884728 is an apocalyptic number.

2884728 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2884728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4596480).

2884728 is an abundant number, since it is smaller than the sum of its proper divisors (6308232).

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

2884728 is a wasteful number, since it uses less digits than its factorization.

2884728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 246 counting only the distinct ones).

The product of its digits is 57344, while the sum is 39.

The square root of 2884728 is about 1698.4487039649. The cubic root of 2884728 is about 142.3535460560.

The spelling of 2884728 in words is "two million, eight hundred eighty-four thousand, seven hundred twenty-eight".