28823143680 has 1008 divisors, whose sum is σ = 115815329280. Its totient is φ = 6831931392.

The previous prime is 28823143639. The next prime is 28823143693. The reversal of 28823143680 is 8634132882.

28823143680 is a `hidden beast` number, since 288 + 2 + 3 + 1 + 4 + 368 + 0 = 666.

It is a super-2 number, since 2×28823143680² (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 111 ways as a sum of consecutive naturals, for example, 364849881 + ... + 364849959.

It is an arithmetic number, because the mean of its divisors is an integer number (114896160).

Almost surely, 2^28823143680 is an apocalyptic number.

28823143680 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 28823143680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57907664640).

28823143680 is an abundant number, since it is smaller than the sum of its proper divisors (86992185600).

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

28823143680 is an equidigital number, since it uses as much as digits as its factorization.

28823143680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 28823143680 in words is "twenty-eight billion, eight hundred twenty-three million, one hundred forty-three thousand, six hundred eighty".