428023200 has 288 divisors, whose sum is σ = 1571899392. Its totient is φ = 100224000.

The previous prime is 428023199. The next prime is 428023207. The reversal of 428023200 is 2320824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428023207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 818139 + ... + 818661.

It is an arithmetic number, because the mean of its divisors is an integer number (5457984).

Almost surely, 2^428023200 is an apocalyptic number.

428023200 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 428023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785949696).

428023200 is an abundant number, since it is smaller than the sum of its proper divisors (1143876192).

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

428023200 is a wasteful number, since it uses less digits than its factorization.

428023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 428023200 is about 20688.7215651427. The cubic root of 428023200 is about 753.6258207623.

The spelling of 428023200 in words is "four hundred twenty-eight million, twenty-three thousand, two hundred".