428134000 has 160 divisors (see below), whose sum is σ = 1207529856. Its totient is φ = 143769600.

The previous prime is 428133997. The next prime is 428134033. The reversal of 428134000 is 431824.

It is a congruent number.

It is an unprimeable number.

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, 741712 + ... + 742288.

Almost surely, 2^428134000 is an apocalyptic number.

428134000 is a gapful number since it is divisible by the number (40) 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 428134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603764928).

428134000 is an abundant number, since it is smaller than the sum of its proper divisors (779395856).

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

428134000 is a wasteful number, since it uses less digits than its factorization.

428134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 428134000 is about 20691.3991793692. The cubic root of 428134000 is about 753.6908441355.

Adding to 428134000 its reverse (431824), we get a palindrome (428565824).

The spelling of 428134000 in words is "four hundred twenty-eight million, one hundred thirty-four thousand".