428278784 has 66 divisors (see below), whose sum is σ = 885790122. Its totient is φ = 206848000.

The previous prime is 428278783. The next prime is 428278787. The reversal of 428278784 is 487872824.

It can be written as a sum of positive squares in 3 ways, for example, as 176358400 + 251920384 = 13280^2 + 15872^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428278783) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4240334 + ... + 4240434.

Almost surely, 2^428278784 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 428278784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442895061).

428278784 is an abundant number, since it is smaller than the sum of its proper divisors (457511338).

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

428278784 is an equidigital number, since it uses as much as digits as its factorization.

428278784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 144 counting only the distinct ones).

The product of its digits is 1605632, while the sum is 50.

The square root of 428278784 is about 20694.8975353830. The cubic root of 428278784 is about 753.7757942342.

The spelling of 428278784 in words is "four hundred twenty-eight million, two hundred seventy-eight thousand, seven hundred eighty-four".