428444100 has 144 divisors (see below), whose sum is σ = 1574204800. Its totient is φ = 97925760.

The previous prime is 428444063. The next prime is 428444111. The reversal of 428444100 is 1444824.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7566 + ... + 30234.

Almost surely, 2^428444100 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 428444100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787102400).

428444100 is an abundant number, since it is smaller than the sum of its proper divisors (1145760700).

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

428444100 is a wasteful number, since it uses less digits than its factorization.

428444100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22699 (or 22686 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 428444100 is about 20698.8912746553. The cubic root of 428444100 is about 753.8727678053.

Adding to 428444100 its reverse (1444824), we get a palindrome (429888924).

It can be divided in two parts, 4284 and 44100, that added together give a palindrome (48384).

The spelling of 428444100 in words is "four hundred twenty-eight million, four hundred forty-four thousand, one hundred".