438928820 has 48 divisors (see below), whose sum is σ = 1012955328. Its totient is φ = 158434560.

The previous prime is 438928813. The next prime is 438928829. The reversal of 438928820 is 28829834.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438928829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22859 + ... + 37421.

It is an arithmetic number, because the mean of its divisors is an integer number (21103236).

Almost surely, 2^438928820 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 438928820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506477664).

438928820 is an abundant number, since it is smaller than the sum of its proper divisors (574026508).

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

438928820 is a wasteful number, since it uses less digits than its factorization.

438928820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14720 (or 14718 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 44.

The square root of 438928820 is about 20950.6281528741. The cubic root of 438928820 is about 759.9727714160.

The spelling of 438928820 in words is "four hundred thirty-eight million, nine hundred twenty-eight thousand, eight hundred twenty".