428298000 has 480 divisors, whose sum is σ = 1662810240. Its totient is φ = 94003200.

The previous prime is 428297963. The next prime is 428298001. The reversal of 428298000 is 892824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428298001) 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 95 ways as a sum of consecutive naturals, for example, 22541991 + ... + 22542009.

It is an arithmetic number, because the mean of its divisors is an integer number (3464188).

Almost surely, 2^428298000 is an apocalyptic number.

428298000 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 428298000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831405120).

428298000 is an abundant number, since it is smaller than the sum of its proper divisors (1234512240).

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

428298000 is a wasteful number, since it uses less digits than its factorization.

428298000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 428298000 is about 20695.3617992052. The cubic root of 428298000 is about 753.7870675291.

The spelling of 428298000 in words is "four hundred twenty-eight million, two hundred ninety-eight thousand".