428764944 has 80 divisors (see below), whose sum is σ = 1171601600. Its totient is φ = 134742528.

The previous prime is 428764901. The next prime is 428764949. The reversal of 428764944 is 449467824.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 428764893 and 428764902.

It is not an unprimeable number, because it can be changed into a prime (428764949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207822 + ... + 209874.

It is an arithmetic number, because the mean of its divisors is an integer number (14645020).

Almost surely, 2^428764944 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 428764944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585800800).

428764944 is an abundant number, since it is smaller than the sum of its proper divisors (742836656).

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

428764944 is a wasteful number, since it uses less digits than its factorization.

428764944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2312 (or 2306 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 48.

The square root of 428764944 is about 20706.6400944238. The cubic root of 428764944 is about 754.0609021909.

The spelling of 428764944 in words is "four hundred twenty-eight million, seven hundred sixty-four thousand, nine hundred forty-four".