268748928 has 360 divisors, whose sum is σ = 972580455. Its totient is φ = 73446912.

The previous prime is 268748899. The next prime is 268748929. The reversal of 268748928 is 829847862.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 134374464 + 134374464 = 11592^2 + 11592^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=11592.

It is a super-2 number, since 2×268748928² = 144451972602298368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (268748929) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 11684725 + ... + 11684747.

Almost surely, 2^268748928 is an apocalyptic number.

268748928 is a gapful number since it is divisible by the number (28) 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 268748928

268748928 is an abundant number, since it is smaller than the sum of its proper divisors (703831527).

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

268748928 is an equidigital number, since it uses as much as digits as its factorization.

268748928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 35 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 268748928 is about 16393.5636150289. The cubic root of 268748928 is about 645.3305822952.

It can be divided in two parts, 2687 and 48928, that added together give a palindrome (51615).

The spelling of 268748928 in words is "two hundred sixty-eight million, seven hundred forty-eight thousand, nine hundred twenty-eight".