38950128 has 120 divisors (see below), whose sum is σ = 131964768. Its totient is φ = 10469376.

The previous prime is 38950117. The next prime is 38950141. The reversal of 38950128 is 82105983.

It is a super-2 number, since 2×38950128² = 3034224942432768, which contains 22 as substring.

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 = 38950092 and 38950101.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 16000 + ... + 18272.

Almost surely, 2^38950128 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 38950128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65982384).

38950128 is an abundant number, since it is smaller than the sum of its proper divisors (93014640).

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

38950128 is a wasteful number, since it uses less digits than its factorization.

38950128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2311 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 38950128 is about 6241.0037654211. The cubic root of 38950128 is about 338.9765300795.

The spelling of 38950128 in words is "thirty-eight million, nine hundred fifty thousand, one hundred twenty-eight".