4428864 has 112 divisors (see below), whose sum is σ = 14264640. Its totient is φ = 1336320.

The previous prime is 4428859. The next prime is 4428869. The reversal of 4428864 is 4688244.

It is an interprime number because it is at equal distance from previous prime (4428859) and next prime (4428869).

It is a super-2 number, since 2×4428864² = 39229672660992, which contains 22 as substring.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (4428869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18892 + ... + 19124.

Almost surely, 2^4428864 is an apocalyptic number.

4428864 is a gapful number since it is divisible by the number (44) 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 4428864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7132320).

4428864 is an abundant number, since it is smaller than the sum of its proper divisors (9835776).

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

4428864 is a wasteful number, since it uses less digits than its factorization.

4428864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 249 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 4428864 is about 2104.4866357380. The cubic root of 4428864 is about 164.2217899468.

The spelling of 4428864 in words is "four million, four hundred twenty-eight thousand, eight hundred sixty-four".