928169081831376 has 720 divisors, whose sum is σ = 3343896720448128. Its totient is φ = 237609772646400.

The previous prime is 928169081831371. The next prime is 928169081831399. The reversal of 928169081831376 is 673138180961829.

928169081831376 is a `hidden beast` number, since 9 + 2 + 8 + 16 + 90 + 81 + 83 + 1 + 376 = 666.

It is a super-2 number, since 2×928169081831376² (a number of 31 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (928169081831371) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17948441296 + ... + 17948493008.

Almost surely, 2^{928169081831376} 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 928169081831376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671948360224064).

928169081831376 is an abundant number, since it is smaller than the sum of its proper divisors (2415727638616752).

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

928169081831376 is a wasteful number, since it uses less digits than its factorization.

928169081831376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55080 (or 55064 counting only the distinct ones).

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

The spelling of 928169081831376 in words is "nine hundred twenty-eight trillion, one hundred sixty-nine billion, eighty-one million, eight hundred thirty-one thousand, three hundred seventy-six".