1268677728 has 288 divisors, whose sum is σ = 4080061440. Its totient is φ = 386311680.

The previous prime is 1268677727. The next prime is 1268677733. The reversal of 1268677728 is 8277768621.

It is a happy number.

1268677728 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1268677727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4579926 + ... + 4580202.

It is an arithmetic number, because the mean of its divisors is an integer number (14166880).

Almost surely, 2^1268677728 is an apocalyptic number.

1268677728 is a gapful number since it is divisible by the number (18) 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 1268677728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2040030720).

1268677728 is an abundant number, since it is smaller than the sum of its proper divisors (2811383712).

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

1268677728 is a wasteful number, since it uses less digits than its factorization.

1268677728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 332 counting only the distinct ones).

The product of its digits is 3161088, while the sum is 54.

The square root of 1268677728 is about 35618.5026074932. The cubic root of 1268677728 is about 1082.5561674565.

The spelling of 1268677728 in words is "one billion, two hundred sixty-eight million, six hundred seventy-seven thousand, seven hundred twenty-eight".