383138028000 has 576 divisors, whose sum is σ = 1673561215872. Its totient is φ = 80837222400.

The previous prime is 383138027983. The next prime is 383138028067. The reversal of 383138028000 is 820831383.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3217524 + ... + 3334476.

It is an arithmetic number, because the mean of its divisors is an integer number (2905488222).

Almost surely, 2^383138028000 is an apocalyptic number.

383138028000 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 383138028000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836780607936).

383138028000 is an abundant number, since it is smaller than the sum of its proper divisors (1290423187872).

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

383138028000 is a wasteful number, since it uses less digits than its factorization.

383138028000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117004 (or 116983 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 383138028000 its reverse (820831383), we get a palindrome (383958859383).

The spelling of 383138028000 in words is "three hundred eighty-three billion, one hundred thirty-eight million, twenty-eight thousand".