38842678728 has 432 divisors, whose sum is σ = 131082531840. Its totient is φ = 10176606720.

The previous prime is 38842678727. The next prime is 38842678799. The reversal of 38842678728 is 82787624883.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is not an unprimeable number, because it can be changed into a prime (38842678727) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 305847801 + ... + 305847927.

Almost surely, 2^38842678728 is an apocalyptic number.

38842678728 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 38842678728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65541265920).

38842678728 is an abundant number, since it is smaller than the sum of its proper divisors (92239853112).

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

38842678728 is a wasteful number, since it uses less digits than its factorization.

38842678728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 199 counting only the distinct ones).

The product of its digits is 57802752, while the sum is 63.

The spelling of 38842678728 in words is "thirty-eight billion, eight hundred forty-two million, six hundred seventy-eight thousand, seven hundred twenty-eight".