38448828000 has 576 divisors, whose sum is σ = 150078749184. Its totient is φ = 9244800000.

The previous prime is 38448827999. The next prime is 38448828023. The reversal of 38448828000 is 82884483.

It is a happy number.

38448828000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59795679 + ... + 59796321.

It is an arithmetic number, because the mean of its divisors is an integer number (260553384).

Almost surely, 2^38448828000 is an apocalyptic number.

38448828000 is a gapful number since it is divisible by the number (30) 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 38448828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75039374592).

38448828000 is an abundant number, since it is smaller than the sum of its proper divisors (111629921184).

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

38448828000 is a wasteful number, since it uses less digits than its factorization.

38448828000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 38448828000 in words is "thirty-eight billion, four hundred forty-eight million, eight hundred twenty-eight thousand".