1288824264 has 768 divisors, whose sum is σ = 5171040000. Its totient is φ = 292626432.

The previous prime is 1288824259. The next prime is 1288824301. The reversal of 1288824264 is 4624288821.

It is a super-2 number, since 2×1288824264² = 3322135966950283392, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 191 ways as a sum of consecutive naturals, for example, 44442202 + ... + 44442230.

It is an arithmetic number, because the mean of its divisors is an integer number (6733125).

Almost surely, 2^1288824264 is an apocalyptic number.

1288824264 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 1288824264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2585520000).

1288824264 is an abundant number, since it is smaller than the sum of its proper divisors (3882215736).

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

1288824264 is a wasteful number, since it uses less digits than its factorization.

1288824264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 90 counting only the distinct ones).

The product of its digits is 393216, while the sum is 45.

The square root of 1288824264 is about 35900.1986624030. The cubic root of 1288824264 is about 1088.2564116862.

The spelling of 1288824264 in words is "one billion, two hundred eighty-eight million, eight hundred twenty-four thousand, two hundred sixty-four".