38428200 has 144 divisors (see below), whose sum is σ = 132772380. Its totient is φ = 9953280.

The previous prime is 38428183. The next prime is 38428223. The reversal of 38428200 is 282483.

38428200 is a `hidden beast` number, since 38 + 428 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 33942276 + 4485924 = 5826^2 + 2118^2 .

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 66312 + ... + 66888.

Almost surely, 2^38428200 is an apocalyptic number.

38428200 is a gapful number since it is divisible by the number (30) 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 38428200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66386190).

38428200 is an abundant number, since it is smaller than the sum of its proper divisors (94344180).

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

38428200 is a wasteful number, since it uses less digits than its factorization.

38428200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 38428200 is about 6199.0483140560. The cubic root of 38428200 is about 337.4556320277.

The spelling of 38428200 in words is "thirty-eight million, four hundred twenty-eight thousand, two hundred".