39228900 has 72 divisors (see below), whose sum is σ = 116180064. Its totient is φ = 10214400.

The previous prime is 39228887. The next prime is 39228913. The reversal of 39228900 is 982293.

39228900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (39228887) and next prime (39228913).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11380 + ... + 14420.

It is an arithmetic number, because the mean of its divisors is an integer number (1613612).

Almost surely, 2^39228900 is an apocalyptic number.

39228900 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 39228900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58090032).

39228900 is an abundant number, since it is smaller than the sum of its proper divisors (76951164).

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

39228900 is a wasteful number, since it uses less digits than its factorization.

39228900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3101 (or 3094 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 39228900 is about 6263.2978533677. The cubic root of 39228900 is about 339.7833106021.

It can be divided in two parts, 392 and 28900, that added together give a palindrome (29292).

The spelling of 39228900 in words is "thirty-nine million, two hundred twenty-eight thousand, nine hundred".