268874928 has 240 divisors, whose sum is σ = 920774400. Its totient is φ = 71539200.

The previous prime is 268874897. The next prime is 268874933. The reversal of 268874928 is 829478862.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1934283 + ... + 1934421.

It is an arithmetic number, because the mean of its divisors is an integer number (3836560).

Almost surely, 2^268874928 is an apocalyptic number.

268874928 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 268874928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460387200).

268874928 is an abundant number, since it is smaller than the sum of its proper divisors (651899472).

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

268874928 is a wasteful number, since it uses less digits than its factorization.

268874928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 271 counting only the distinct ones).

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

The square root of 268874928 is about 16397.4061363375. The cubic root of 268874928 is about 645.4314186035.

The spelling of 268874928 in words is "two hundred sixty-eight million, eight hundred seventy-four thousand, nine hundred twenty-eight".