1288063392 has 432 divisors, whose sum is σ = 4523855616. Its totient is φ = 319334400.

The previous prime is 1288063379. The next prime is 1288063417. The reversal of 1288063392 is 2933608821.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17644668 + ... + 17644740.

It is an arithmetic number, because the mean of its divisors is an integer number (10471888).

Almost surely, 2^1288063392 is an apocalyptic number.

1288063392 is a gapful number since it is divisible by the number (12) 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 1288063392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2261927808).

1288063392 is an abundant number, since it is smaller than the sum of its proper divisors (3235792224).

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

1288063392 is a wasteful number, since it uses less digits than its factorization.

1288063392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 1288063392 is about 35889.6000534974. The cubic root of 1288063392 is about 1088.0422146971.

The spelling of 1288063392 in words is "one billion, two hundred eighty-eight million, sixty-three thousand, three hundred ninety-two".