1056816288 has 384 divisors, whose sum is σ = 3692666880. Its totient is φ = 290304000.

The previous prime is 1056816283. The next prime is 1056816301. The reversal of 1056816288 is 8826186501.

1056816288 is a `hidden beast` number, since 1 + 0 + 568 + 1 + 6 + 2 + 88 = 666.

It is a super-2 number, since 2×1056816288² = 2233721333164197888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1056816281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5008503 + ... + 5008713.

It is an arithmetic number, because the mean of its divisors is an integer number (9616320).

Almost surely, 2^1056816288 is an apocalyptic number.

1056816288 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 1056816288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1846333440).

1056816288 is an abundant number, since it is smaller than the sum of its proper divisors (2635850592).

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

1056816288 is a wasteful number, since it uses less digits than its factorization.

1056816288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 1056816288 is about 32508.7109556808. The cubic root of 1056816288 is about 1018.5909957069.

The spelling of 1056816288 in words is "one billion, fifty-six million, eight hundred sixteen thousand, two hundred eighty-eight".