428679064 has 64 divisors (see below), whose sum is σ = 934416000. Its totient is φ = 182315520.

The previous prime is 428679049. The next prime is 428679071. The reversal of 428679064 is 460976824.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137232 + ... + 140320.

It is an arithmetic number, because the mean of its divisors is an integer number (14600250).

Almost surely, 2^428679064 is an apocalyptic number.

428679064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428679064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467208000).

428679064 is an abundant number, since it is smaller than the sum of its proper divisors (505736936).

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

428679064 is a wasteful number, since it uses less digits than its factorization.

428679064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3208 (or 3204 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The square root of 428679064 is about 20704.5662596443. The cubic root of 428679064 is about 754.0105536450.

The spelling of 428679064 in words is "four hundred twenty-eight million, six hundred seventy-nine thousand, sixty-four".