28568233440 has 480 divisors, whose sum is σ = 107698719744. Its totient is φ = 7106641920.

The previous prime is 28568233433. The next prime is 28568233451. The reversal of 28568233440 is 4433286582.

28568233440 is a `hidden beast` number, since 28 + 568 + 23 + 3 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×28568233440² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27980130 + ... + 27981150.

Almost surely, 2^28568233440 is an apocalyptic number.

28568233440 is a gapful number since it is divisible by the number (20) 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 28568233440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53849359872).

28568233440 is an abundant number, since it is smaller than the sum of its proper divisors (79130486304).

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

28568233440 is a wasteful number, since it uses less digits than its factorization.

28568233440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 28568233440 in words is "twenty-eight billion, five hundred sixty-eight million, two hundred thirty-three thousand, four hundred forty".