4028864 has 84 divisors (see below), whose sum is σ = 10113264. Its totient is φ = 1554432.

The previous prime is 4028863. The next prime is 4028891. The reversal of 4028864 is 4688204.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 4028864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4028863) 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, 175157 + ... + 175179.

It is an arithmetic number, because the mean of its divisors is an integer number (120396).

Almost surely, 2^4028864 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 4028864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5056632).

4028864 is an abundant number, since it is smaller than the sum of its proper divisors (6084400).

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

4028864 is a wasteful number, since it uses less digits than its factorization.

4028864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 4028864 is about 2007.2030290930. The cubic root of 4028864 is about 159.1210133161.

The spelling of 4028864 in words is "four million, twenty-eight thousand, eight hundred sixty-four".