38118528 has 192 divisors, whose sum is σ = 130478400. Its totient is φ = 10450944.

The previous prime is 38118523. The next prime is 38118529. The reversal of 38118528 is 82581183.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 38118492 and 38118501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38118523) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 233775 + ... + 233937.

It is an arithmetic number, because the mean of its divisors is an integer number (679575).

Almost surely, 2^38118528 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 38118528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65239200).

38118528 is an abundant number, since it is smaller than the sum of its proper divisors (92359872).

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

38118528 is a wasteful number, since it uses less digits than its factorization.

38118528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 204 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The square root of 38118528 is about 6174.0204081295. The cubic root of 38118528 is about 336.5467289444.

The spelling of 38118528 in words is "thirty-eight million, one hundred eighteen thousand, five hundred twenty-eight".