56169288 has 240 divisors, whose sum is σ = 192426300. Its totient is φ = 15240960.

The previous prime is 56169287. The next prime is 56169313. The reversal of 56169288 is 88296165.

56169288 is a `hidden beast` number, since 5 + 616 + 9 + 28 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 51581124 + 4588164 = 7182^2 + 2142^2 .

It is not an unprimeable number, because it can be changed into a prime (56169283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 920778 + ... + 920838.

Almost surely, 2^56169288 is an apocalyptic number.

56169288 is a gapful number since it is divisible by the number (58) 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 56169288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96213150).

56169288 is an abundant number, since it is smaller than the sum of its proper divisors (136257012).

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

56169288 is a wasteful number, since it uses less digits than its factorization.

56169288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 102 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 56169288 is about 7494.6172684134. The cubic root of 56169288 is about 382.9713681282.

The spelling of 56169288 in words is "fifty-six million, one hundred sixty-nine thousand, two hundred eighty-eight".