268508928 has 72 divisors (see below), whose sum is σ = 717550288. Its totient is φ = 89137152.

The previous prime is 268508927. The next prime is 268508939. The reversal of 268508928 is 829805862.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268508921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 239826 + ... + 240942.

Almost surely, 2^268508928 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 268508928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358775144).

268508928 is an abundant number, since it is smaller than the sum of its proper divisors (449041360).

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

268508928 is a wasteful number, since it uses less digits than its factorization.

268508928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1449 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The square root of 268508928 is about 16386.2420340968. The cubic root of 268508928 is about 645.1384259114.

It can be divided in two parts, 26850 and 8928, that added together give a triangular number (35778 = T₂₆₇).

The spelling of 268508928 in words is "two hundred sixty-eight million, five hundred eight thousand, nine hundred twenty-eight".