38033928 has 64 divisors (see below), whose sum is σ = 108528000. Its totient is φ = 12332736.

The previous prime is 38033921. The next prime is 38033929. The reversal of 38033928 is 82933083.

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 = 38033892 and 38033901.

It is not an unprimeable number, because it can be changed into a prime (38033921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5613 + ... + 10371.

It is an arithmetic number, because the mean of its divisors is an integer number (1695750).

Almost surely, 2^38033928 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 38033928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54264000).

38033928 is an abundant number, since it is smaller than the sum of its proper divisors (70494072).

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

38033928 is a wasteful number, since it uses less digits than its factorization.

38033928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4811 (or 4801 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 38033928 is about 6167.1653131727. The cubic root of 38033928 is about 336.2975680229.

The spelling of 38033928 in words is "thirty-eight million, thirty-three thousand, nine hundred twenty-eight".