428076584 has 32 divisors (see below), whose sum is σ = 869199240. Its totient is φ = 196473600.

The previous prime is 428076581. The next prime is 428076629. The reversal of 428076584 is 485670824.

It can be written as a sum of positive squares in 4 ways, for example, as 63648484 + 364428100 = 7978^2 + 19090^2 .

It is not an unprimeable number, because it can be changed into a prime (428076581) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7454 + ... + 30194.

Almost surely, 2^428076584 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 428076584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434599620).

428076584 is an abundant number, since it is smaller than the sum of its proper divisors (441122656).

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

428076584 is a wasteful number, since it uses less digits than its factorization.

428076584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22941 (or 22937 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 44.

The square root of 428076584 is about 20690.0116964684. The cubic root of 428076584 is about 753.6571507528.

The spelling of 428076584 in words is "four hundred twenty-eight million, seventy-six thousand, five hundred eighty-four".