928123691904 has 320 divisors, whose sum is σ = 2805711796800. Its totient is φ = 304525578240.

The previous prime is 928123691903. The next prime is 928123691909. The reversal of 928123691904 is 409196321829.

928123691904 is a `hidden beast` number, since 92 + 8 + 1 + 2 + 369 + 190 + 4 = 666.

It is a super-2 number, since 2×928123691904² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (928123691903) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 177424969 + ... + 177430199.

It is an arithmetic number, because the mean of its divisors is an integer number (8767849365).

Almost surely, 2^928123691904 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 928123691904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402855898400).

928123691904 is an abundant number, since it is smaller than the sum of its proper divisors (1877588104896).

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

928123691904 is a wasteful number, since it uses less digits than its factorization.

928123691904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5523 (or 5502 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 928123691904 in words is "nine hundred twenty-eight billion, one hundred twenty-three million, six hundred ninety-one thousand, nine hundred four".