38833128 has 128 divisors (see below), whose sum is σ = 114364800. Its totient is φ = 12192768.

The previous prime is 38833121. The next prime is 38833147. The reversal of 38833128 is 82133883.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 38833092 and 38833101.

It is not an unprimeable number, because it can be changed into a prime (38833121) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 343600 + ... + 343712.

It is an arithmetic number, because the mean of its divisors is an integer number (893475).

Almost surely, 2^38833128 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 38833128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57182400).

38833128 is an abundant number, since it is smaller than the sum of its proper divisors (75531672).

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

38833128 is a wasteful number, since it uses less digits than its factorization.

38833128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 198 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 38833128 is about 6231.6232235269. The cubic root of 38833128 is about 338.6367791083.

The spelling of 38833128 in words is "thirty-eight million, eight hundred thirty-three thousand, one hundred twenty-eight".