428582784 has 256 divisors, whose sum is σ = 1406522880. Its totient is φ = 112852992.

The previous prime is 428582773. The next prime is 428582789. The reversal of 428582784 is 487285824.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428582789) 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 31 ways as a sum of consecutive naturals, for example, 3792712 + ... + 3792824.

It is an arithmetic number, because the mean of its divisors is an integer number (5494230).

Almost surely, 2^428582784 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 428582784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703261440).

428582784 is an abundant number, since it is smaller than the sum of its proper divisors (977940096).

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

428582784 is a wasteful number, since it uses less digits than its factorization.

428582784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 225 counting only the distinct ones).

The product of its digits is 1146880, while the sum is 48.

The square root of 428582784 is about 20702.2410381099. The cubic root of 428582784 is about 753.9540999341.

The spelling of 428582784 in words is "four hundred twenty-eight million, five hundred eighty-two thousand, seven hundred eighty-four".