293028064 has 96 divisors (see below), whose sum is σ = 691891200. Its totient is φ = 119508480.

The previous prime is 293028061. The next prime is 293028077. The reversal of 293028064 is 460820392.

293028064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (293028061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 512899 + ... + 513469.

It is an arithmetic number, because the mean of its divisors is an integer number (7207200).

Almost surely, 2^293028064 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 293028064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345945600).

293028064 is an abundant number, since it is smaller than the sum of its proper divisors (398863136).

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

293028064 is a wasteful number, since it uses less digits than its factorization.

293028064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 293028064 is about 17118.0625071881. The cubic root of 293028064 is about 664.2064244251.

The spelling of 293028064 in words is "two hundred ninety-three million, twenty-eight thousand, sixty-four".