38328192 has 192 divisors, whose sum is σ = 129948000. Its totient is φ = 10838016.

The previous prime is 38328181. The next prime is 38328197. The reversal of 38328192 is 29182383.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (38328197) 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, 395088 + ... + 395184.

Almost surely, 2^38328192 is an apocalyptic number.

38328192 is a gapful number since it is divisible by the number (32) 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 38328192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64974000).

38328192 is an abundant number, since it is smaller than the sum of its proper divisors (91619808).

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

38328192 is an equidigital number, since it uses as much as digits as its factorization.

38328192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 109 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 38328192 is about 6190.9766596233. The cubic root of 38328192 is about 337.1626390220.

The spelling of 38328192 in words is "thirty-eight million, three hundred twenty-eight thousand, one hundred ninety-two".