38514528 has 168 divisors, whose sum is σ = 123395328. Its totient is φ = 11757312.

The previous prime is 38514491. The next prime is 38514533. The reversal of 38514528 is 82541583.

It is a happy number.

38514528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 38514492 and 38514501.

It is a congruent number.

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 27 ways as a sum of consecutive naturals, for example, 303201 + ... + 303327.

It is an arithmetic number, because the mean of its divisors is an integer number (734496).

Almost surely, 2^38514528 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 38514528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61697664).

38514528 is an abundant number, since it is smaller than the sum of its proper divisors (84880800).

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

38514528 is a wasteful number, since it uses less digits than its factorization.

38514528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 145 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 38514528 is about 6206.0074121773. The cubic root of 38514528 is about 337.7081382802.

The spelling of 38514528 in words is "thirty-eight million, five hundred fourteen thousand, five hundred twenty-eight".