428606800 has 60 divisors (see below), whose sum is σ = 1053717280. Its totient is φ = 167448960.

The previous prime is 428606791. The next prime is 428606851. The reversal of 428606800 is 8606824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4741 + ... + 29659.

Almost surely, 2^428606800 is an apocalyptic number.

428606800 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 428606800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526858640).

428606800 is an abundant number, since it is smaller than the sum of its proper divisors (625110480).

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

428606800 is a wasteful number, since it uses less digits than its factorization.

428606800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24980 (or 24969 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 428606800 is about 20702.8210638067. The cubic root of 428606800 is about 753.9681824904.

The spelling of 428606800 in words is "four hundred twenty-eight million, six hundred six thousand, eight hundred".