928964864 has 72 divisors (see below), whose sum is σ = 1981801080. Its totient is φ = 433061888.

The previous prime is 928964863. The next prime is 928964887. The reversal of 928964864 is 468469829.

It can be written as a sum of positive squares in 4 ways, for example, as 38539264 + 890425600 = 6208^2 + 29840^2 .

It is not an unprimeable number, because it can be changed into a prime (928964863) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 490832 + ... + 492720.

It is an arithmetic number, because the mean of its divisors is an integer number (27525015).

Almost surely, 2^928964864 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 928964864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990900540).

928964864 is an abundant number, since it is smaller than the sum of its proper divisors (1052836216).

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

928964864 is a wasteful number, since it uses less digits than its factorization.

928964864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2035 (or 2021 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 56.

The square root of 928964864 is about 30478.9249154231. The cubic root of 928964864 is about 975.7377240258.

The spelling of 928964864 in words is "nine hundred twenty-eight million, nine hundred sixty-four thousand, eight hundred sixty-four".