2863728 has 80 divisors (see below), whose sum is σ = 9404160. Its totient is φ = 817344.

The previous prime is 2863703. The next prime is 2863733. The reversal of 2863728 is 8273682.

It is a happy number.

2863728 is a `hidden beast` number, since 286 + 372 + 8 = 666.

2863728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 2863692 and 2863701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2551 + ... + 3497.

It is an arithmetic number, because the mean of its divisors is an integer number (117552).

2^2863728 is an apocalyptic number.

2863728 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 2863728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4702080).

2863728 is an abundant number, since it is smaller than the sum of its proper divisors (6540432).

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

2863728 is a wasteful number, since it uses less digits than its factorization.

2863728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 959 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 2863728 is about 1692.2552998883. The cubic root of 2863728 is about 142.0072733165.

The spelling of 2863728 in words is "two million, eight hundred sixty-three thousand, seven hundred twenty-eight".