928317079872 has 504 divisors, whose sum is σ = 3342297436296. Its totient is φ = 244175855616.

The previous prime is 928317079847. The next prime is 928317079883. The reversal of 928317079872 is 278970713829.

It can be written as a sum of positive squares in 4 ways, for example, as 184679905536 + 743637174336 = 429744^2 + 862344^2 .

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 145660878 + ... + 145667250.

Almost surely, 2^928317079872 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 928317079872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671148718148).

928317079872 is an abundant number, since it is smaller than the sum of its proper divisors (2413980356424).

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

928317079872 is a wasteful number, since it uses less digits than its factorization.

928317079872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6815 (or 6795 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 63.

The spelling of 928317079872 in words is "nine hundred twenty-eight billion, three hundred seventeen million, seventy-nine thousand, eight hundred seventy-two".