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28135784448 = 21732172361
BaseRepresentation
bin11010001101000001…
…100000000000000000
32200121211102221101200
4122031001200000000
5430110230100243
620531515301200
72014142136042
oct321501400000
980554387350
1028135784448
1110a28a0a322
12555274a800
1328650b0385
14150ca17a92
15aea138ad3
hex68d060000

28135784448 has 432 divisors, whose sum is σ = 91276095456. Its totient is φ = 8304721920.

The previous prime is 28135784429. The next prime is 28135784473. The reversal of 28135784448 is 84448753182.

28135784448 is a `hidden beast` number, since 28 + 1 + 3 + 578 + 4 + 4 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 28135784394 and 28135784403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 461242338 + ... + 461242398.

It is an arithmetic number, because the mean of its divisors is an integer number (211287258).

Almost surely, 228135784448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28135784448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45638047728).

28135784448 is an abundant number, since it is smaller than the sum of its proper divisors (63140311008).

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

28135784448 is an equidigital number, since it uses as much as digits as its factorization.

28135784448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 106 counting only the distinct ones).

The product of its digits is 6881280, while the sum is 54.

The spelling of 28135784448 in words is "twenty-eight billion, one hundred thirty-five million, seven hundred eighty-four thousand, four hundred forty-eight".