8705928 has 96 divisors (see below), whose sum is σ = 27660960. Its totient is φ = 2257920.

The previous prime is 8705923. The next prime is 8705941. The reversal of 8705928 is 8295078.

It is not an unprimeable number, because it can be changed into a prime (8705923) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12600 + ... + 13272.

It is an arithmetic number, because the mean of its divisors is an integer number (288135).

Almost surely, 2^8705928 is an apocalyptic number.

8705928 is a gapful number since it is divisible by the number (88) 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 8705928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13830480).

8705928 is an abundant number, since it is smaller than the sum of its proper divisors (18955032).

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

8705928 is a wasteful number, since it uses less digits than its factorization.

8705928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 8705928 is about 2950.5809597434. The cubic root of 8705928 is about 205.7177143388.

The spelling of 8705928 in words is "eight million, seven hundred five thousand, nine hundred twenty-eight".