1287728064 has 224 divisors, whose sum is σ = 4476902400. Its totient is φ = 355138560.

The previous prime is 1287728051. The next prime is 1287728069. The reversal of 1287728064 is 4608277821.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×1287728064³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1287728069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 348949 + ... + 352619.

Almost surely, 2^1287728064 is an apocalyptic number.

1287728064 is a gapful number since it is divisible by the number (14) 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 1287728064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2238451200).

1287728064 is an abundant number, since it is smaller than the sum of its proper divisors (3189174336).

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

1287728064 is a wasteful number, since it uses less digits than its factorization.

1287728064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3728 (or 3712 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 1287728064 is about 35884.9280896590. The cubic root of 1287728064 is about 1087.9477880077.

The spelling of 1287728064 in words is "one billion, two hundred eighty-seven million, seven hundred twenty-eight thousand, sixty-four".