428345600 has 216 divisors, whose sum is σ = 1167925248. Its totient is φ = 154828800.

The previous prime is 428345591. The next prime is 428345609. The reversal of 428345600 is 6543824.

It is an interprime number because it is at equal distance from previous prime (428345591) and next prime (428345609).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (428345609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3372737 + ... + 3372863.

Almost surely, 2^428345600 is an apocalyptic number.

428345600 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 428345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583962624).

428345600 is an abundant number, since it is smaller than the sum of its proper divisors (739579648).

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

428345600 is a wasteful number, since it uses less digits than its factorization.

428345600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 428345600 is about 20696.5117833900. The cubic root of 428345600 is about 753.8149911829.

The spelling of 428345600 in words is "four hundred twenty-eight million, three hundred forty-five thousand, six hundred".