28419116544 has 1280 divisors, whose sum is σ = 115492608000. Its totient is φ = 6688604160.

The previous prime is 28419116533. The next prime is 28419116567. The reversal of 28419116544 is 44561191482.

28419116544 is a `hidden beast` number, since 2 + 8 + 4 + 1 + 91 + 16 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 28419116544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 693149164 + ... + 693149204.

It is an arithmetic number, because the mean of its divisors is an integer number (90228600).

Almost surely, 2^28419116544 is an apocalyptic number.

28419116544 is a gapful number since it is divisible by the number (24) 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 28419116544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57746304000).

28419116544 is an abundant number, since it is smaller than the sum of its proper divisors (87073491456).

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

28419116544 is a wasteful number, since it uses less digits than its factorization.

28419116544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 114 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The spelling of 28419116544 in words is "twenty-eight billion, four hundred nineteen million, one hundred sixteen thousand, five hundred forty-four".