428339200 has 156 divisors (see below), whose sum is σ = 1096938720. Its totient is φ = 165806080.

The previous prime is 428339161. The next prime is 428339201. The reversal of 428339200 is 2933824.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428339201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4812756 + ... + 4812844.

Almost surely, 2^428339200 is an apocalyptic number.

428339200 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 428339200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548469360).

428339200 is an abundant number, since it is smaller than the sum of its proper divisors (668599520).

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

428339200 is an equidigital number, since it uses as much as digits as its factorization.

428339200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 428339200 is about 20696.3571673858. The cubic root of 428339200 is about 753.8112368624.

The spelling of 428339200 in words is "four hundred twenty-eight million, three hundred thirty-nine thousand, two hundred".