38320128 has 288 divisors, whose sum is σ = 143095680. Its totient is φ = 9953280.

The previous prime is 38320127. The next prime is 38320147. The reversal of 38320128 is 82102383.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38320127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3483643 + ... + 3483653.

It is an arithmetic number, because the mean of its divisors is an integer number (496860).

Almost surely, 2^38320128 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 38320128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71547840).

38320128 is an abundant number, since it is smaller than the sum of its proper divisors (104775552).

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

38320128 is an equidigital number, since it uses as much as digits as its factorization.

38320128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 38320128 is about 6190.3253549389. The cubic root of 38320128 is about 337.1389917615.

The spelling of 38320128 in words is "thirty-eight million, three hundred twenty thousand, one hundred twenty-eight".