428216200 has 48 divisors (see below), whose sum is σ = 1005912180. Its totient is φ = 169512960.

The previous prime is 428216197. The next prime is 428216209. The reversal of 428216200 is 2612824.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 272316004 + 155900196 = 16502^2 + 12486^2 .

It is a super-2 number, since 2×428216200² = 366738227884880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (428216209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8364 + ... + 30436.

Almost surely, 2^428216200 is an apocalyptic number.

428216200 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 428216200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502956090).

428216200 is an abundant number, since it is smaller than the sum of its proper divisors (577695980).

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

428216200 is a wasteful number, since it uses less digits than its factorization.

428216200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22186 (or 22177 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 428216200 is about 20693.3854166011. The cubic root of 428216200 is about 753.7390762489.

The spelling of 428216200 in words is "four hundred twenty-eight million, two hundred sixteen thousand, two hundred".