928971896832 has 576 divisors, whose sum is σ = 3417738105600. Its totient is φ = 236649185280.

The previous prime is 928971896791. The next prime is 928971896869. The reversal of 928971896832 is 238698179829.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41663607 + ... + 41685897.

It is an arithmetic number, because the mean of its divisors is an integer number (5933573100).

Almost surely, 2^928971896832 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 928971896832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1708869052800).

928971896832 is an abundant number, since it is smaller than the sum of its proper divisors (2488766208768).

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

928971896832 is a wasteful number, since it uses less digits than its factorization.

928971896832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22362 (or 22339 counting only the distinct ones).

The product of its digits is 188116992, while the sum is 72.

The spelling of 928971896832 in words is "nine hundred twenty-eight billion, nine hundred seventy-one million, eight hundred ninety-six thousand, eight hundred thirty-two".