2845728 has 72 divisors (see below), whose sum is σ = 8324316. Its totient is φ = 921600.

The previous prime is 2845727. The next prime is 2845789. The reversal of 2845728 is 8275482.

It is a happy number.

2845728 is a `hidden beast` number, since 2 + 84 + 572 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2782224 + 63504 = 1668^2 + 252^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2845692 and 2845701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2845723) 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, 11688 + ... + 11928.

2^2845728 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 2845728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4162158).

2845728 is an abundant number, since it is smaller than the sum of its proper divisors (5478588).

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

2845728 is a wasteful number, since it uses less digits than its factorization.

2845728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 287 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 2845728 is about 1686.9285699163. The cubic root of 2845728 is about 141.7091182274.

The spelling of 2845728 in words is "two million, eight hundred forty-five thousand, seven hundred twenty-eight".