4418928 has 80 divisors (see below), whose sum is σ = 12990240. Its totient is φ = 1437696.

The previous prime is 4418917. The next prime is 4418941. The reversal of 4418928 is 8298144.

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 = 4418892 and 4418901.

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, 22800 + ... + 22992.

It is an arithmetic number, because the mean of its divisors is an integer number (162378).

Almost surely, 2^4418928 is an apocalyptic number.

4418928 is a gapful number since it is divisible by the number (48) 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 4418928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6495120).

4418928 is an abundant number, since it is smaller than the sum of its proper divisors (8571312).

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

4418928 is a wasteful number, since it uses less digits than its factorization.

4418928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 251 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 4418928 is about 2102.1246395017. The cubic root of 4418928 is about 164.0988893975.

It can be divided in two parts, 4418 and 928, that multiplied together give a palindrome (4099904).

The spelling of 4418928 in words is "four million, four hundred eighteen thousand, nine hundred twenty-eight".