38914128 has 160 divisors (see below), whose sum is σ = 128563200. Its totient is φ = 11145600.

The previous prime is 38914123. The next prime is 38914133. The reversal of 38914128 is 82141983.

It is an interprime number because it is at equal distance from previous prime (38914123) and next prime (38914133).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 38914092 and 38914101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38914123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90073 + ... + 90503.

It is an arithmetic number, because the mean of its divisors is an integer number (803520).

Almost surely, 2^38914128 is an apocalyptic number.

38914128 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38914128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64281600).

38914128 is an abundant number, since it is smaller than the sum of its proper divisors (89649072).

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

38914128 is a wasteful number, since it uses less digits than its factorization.

38914128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 466 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 38914128 is about 6238.1189472468. The cubic root of 38914128 is about 338.8720638705.

The spelling of 38914128 in words is "thirty-eight million, nine hundred fourteen thousand, one hundred twenty-eight".