928867968 has 192 divisors, whose sum is σ = 3074198400. Its totient is φ = 263706624.

The previous prime is 928867957. The next prime is 928868009. The reversal of 928867968 is 869768829.

928867968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1846405 + ... + 1846907.

It is an arithmetic number, because the mean of its divisors is an integer number (16011450).

Almost surely, 2^928867968 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 928867968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537099200).

928867968 is an abundant number, since it is smaller than the sum of its proper divisors (2145330432).

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

928867968 is a wasteful number, since it uses less digits than its factorization.

928867968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 744 counting only the distinct ones).

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

The square root of 928867968 is about 30477.3353165922. The cubic root of 928867968 is about 975.7037979598.

The spelling of 928867968 in words is "nine hundred twenty-eight million, eight hundred sixty-seven thousand, nine hundred sixty-eight".