38930013528 has 192 divisors, whose sum is σ = 117202360320. Its totient is φ = 10733184000.

The previous prime is 38930013527. The next prime is 38930013533. The reversal of 38930013528 is 82531003983.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 38930013528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38930013527) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14617525 + ... + 14620187.

It is an arithmetic number, because the mean of its divisors is an integer number (610428960).

Almost surely, 2^38930013528 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 38930013528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58601180160).

38930013528 is an abundant number, since it is smaller than the sum of its proper divisors (78272346792).

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

38930013528 is a wasteful number, since it uses less digits than its factorization.

38930013528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3118 (or 3107 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 38930013528 in words is "thirty-eight billion, nine hundred thirty million, thirteen thousand, five hundred twenty-eight".