38161728 has 168 divisors, whose sum is σ = 126004320. Its totient is φ = 10920960.

The previous prime is 38161727. The next prime is 38161729. The reversal of 38161728 is 82716183.

38161728 is a `hidden beast` number, since 38 + 1 + 617 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (38161727) and next prime (38161729).

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 = 38161692 and 38161701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38161727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120226 + ... + 120542.

Almost surely, 2^38161728 is an apocalyptic number.

38161728 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 38161728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63002160).

38161728 is an abundant number, since it is smaller than the sum of its proper divisors (87842592).

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

38161728 is a wasteful number, since it uses less digits than its factorization.

38161728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 352 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 38161728 is about 6177.5179481730. The cubic root of 38161728 is about 336.6738178834.

The spelling of 38161728 in words is "thirty-eight million, one hundred sixty-one thousand, seven hundred twenty-eight".