428075200 has 168 divisors, whose sum is σ = 1237540832. Its totient is φ = 142663680.

The previous prime is 428075189. The next prime is 428075203. The reversal of 428075200 is 2570824.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428075203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 413884 + ... + 414916.

Almost surely, 2^428075200 is an apocalyptic number.

428075200 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 428075200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618770416).

428075200 is an abundant number, since it is smaller than the sum of its proper divisors (809465632).

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

428075200 is a wasteful number, since it uses less digits than its factorization.

428075200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 428075200 is about 20689.9782503511. The cubic root of 428075200 is about 753.6563385441.

It can be divided in two parts, 428075 and 200, that added together give a triangular number (428275 = T₉₂₅).

The spelling of 428075200 in words is "four hundred twenty-eight million, seventy-five thousand, two hundred".