38042928 has 240 divisors, whose sum is σ = 137419776. Its totient is φ = 9538560.

The previous prime is 38042911. The next prime is 38042929. The reversal of 38042928 is 82924083.

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 = 38042892 and 38042901.

It is not an unprimeable number, because it can be changed into a prime (38042929) 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 47 ways as a sum of consecutive naturals, for example, 521100 + ... + 521172.

Almost surely, 2^38042928 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 38042928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68709888).

38042928 is an abundant number, since it is smaller than the sum of its proper divisors (99376848).

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

38042928 is a wasteful number, since it uses less digits than its factorization.

38042928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 143 counting only the distinct ones).

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

The square root of 38042928 is about 6167.8949407395. The cubic root of 38042928 is about 336.3240920553.

The spelling of 38042928 in words is "thirty-eight million, forty-two thousand, nine hundred twenty-eight".