928106968320 has 864 divisors, whose sum is σ = 3818409154560. Its totient is φ = 211437527040.

The previous prime is 928106968319. The next prime is 928106968343. The reversal of 928106968320 is 23869601829.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×928106968320² (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 955825435 + ... + 955826405.

It is an arithmetic number, because the mean of its divisors is an integer number (4419455040).

Almost surely, 2^928106968320 is an apocalyptic number.

928106968320 is a gapful number since it is divisible by the number (90) 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 928106968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1909204577280).

928106968320 is an abundant number, since it is smaller than the sum of its proper divisors (2890302186240).

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

928106968320 is an equidigital number, since it uses as much as digits as its factorization.

928106968320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1453 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 928106968320 in words is "nine hundred twenty-eight billion, one hundred six million, nine hundred sixty-eight thousand, three hundred twenty".