928017832896 has 896 divisors, whose sum is σ = 3669901240320. Its totient is φ = 222555340800.

The previous prime is 928017832873. The next prime is 928017832897. The reversal of 928017832896 is 698238710829.

928017832896 is a `hidden beast` number, since 9 + 280 + 1 + 78 + 3 + 289 + 6 = 666.

It is a super-2 number, since 2×928017832896² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (928017832897) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 119879586 + ... + 119887326.

It is an arithmetic number, because the mean of its divisors is an integer number (4095871920).

Almost surely, 2^928017832896 is an apocalyptic number.

928017832896 is a gapful number since it is divisible by the number (96) 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 928017832896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1834950620160).

928017832896 is an abundant number, since it is smaller than the sum of its proper divisors (2741883407424).

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

928017832896 is a wasteful number, since it uses less digits than its factorization.

928017832896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7850 (or 7834 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

It can be divided in two parts, 9280 and 17832896, that added together give a square (17842176 = 4224²).

The spelling of 928017832896 in words is "nine hundred twenty-eight billion, seventeen million, eight hundred thirty-two thousand, eight hundred ninety-six".