928138317120 has 336 divisors, whose sum is σ = 3674726590080. Its totient is φ = 210619035648.

The previous prime is 928138317083. The next prime is 928138317163. The reversal of 928138317120 is 21713831829.

928138317120 is a `hidden beast` number, since 9 + 2 + 81 + 383 + 171 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×928138317120² (a number of 25 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2636634 + ... + 2967846.

It is an arithmetic number, because the mean of its divisors is an integer number (10936686280).

Almost surely, 2^928138317120 is an apocalyptic number.

928138317120 is a gapful number since it is divisible by the number (90) 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 928138317120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837363295040).

928138317120 is an abundant number, since it is smaller than the sum of its proper divisors (2746588272960).

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

928138317120 is a wasteful number, since it uses less digits than its factorization.

928138317120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331382 (or 331369 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 928138317120 in words is "nine hundred twenty-eight billion, one hundred thirty-eight million, three hundred seventeen thousand, one hundred twenty".