268326528 has 64 divisors (see below), whose sum is σ = 716040000. Its totient is φ = 89028608.

The previous prime is 268326511. The next prime is 268326529. The reversal of 268326528 is 825623862.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 268326528.

It is not an unprimeable number, because it can be changed into a prime (268326529) 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, 87973 + ... + 90971.

It is an arithmetic number, because the mean of its divisors is an integer number (11188125).

Almost surely, 2^268326528 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 268326528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358020000).

268326528 is an abundant number, since it is smaller than the sum of its proper divisors (447713472).

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

268326528 is a wasteful number, since it uses less digits than its factorization.

268326528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3249 (or 3237 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 268326528 is about 16380.6754439492. The cubic root of 268326528 is about 644.9923104666.

The spelling of 268326528 in words is "two hundred sixty-eight million, three hundred twenty-six thousand, five hundred twenty-eight".