38828600 has 72 divisors (see below), whose sum is σ = 94629360. Its totient is φ = 14815680.

The previous prime is 38828591. The next prime is 38828611. The reversal of 38828600 is 682883.

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 105617 + ... + 105983.

Almost surely, 2^38828600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38828600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47314680).

38828600 is an abundant number, since it is smaller than the sum of its proper divisors (55800760).

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

38828600 is a wasteful number, since it uses less digits than its factorization.

38828600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 38828600 is about 6231.2599047063. The cubic root of 38828600 is about 338.6236167474.

The spelling of 38828600 in words is "thirty-eight million, eight hundred twenty-eight thousand, six hundred".