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28345491456 = 21332350147
BaseRepresentation
bin11010011001100001…
…011110000000000000
32201011110001011022220
4122121201132000000
5431022421211311
621004410131040
72022266462532
oct323141360000
981143034286
1028345491456
11110263222a7
1255b0a20a80
132899685a69
14152c805852
15b0d75e206
hex69985e000

28345491456 has 112 divisors (see below), whose sum is σ = 78871169664. Its totient is φ = 9037512704.

The previous prime is 28345491439. The next prime is 28345491457. The reversal of 28345491456 is 65419454382.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 28345491399 and 28345491408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28345491457) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 540175 + ... + 590321.

It is an arithmetic number, because the mean of its divisors is an integer number (704206872).

Almost surely, 228345491456 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 28345491456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39435584832).

28345491456 is an abundant number, since it is smaller than the sum of its proper divisors (50525678208).

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

28345491456 is an equidigital number, since it uses as much as digits as its factorization.

28345491456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50199 (or 50175 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 51.

The spelling of 28345491456 in words is "twenty-eight billion, three hundred forty-five million, four hundred ninety-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 512 552 736 768 1024 1104 1472 1536 2048 2208 2944 3072 4096 4416 5888 6144 8192 8832 11776 12288 17664 23552 24576 35328 47104 50147 70656 94208 100294 141312 150441 188416 200588 282624 300882 401176 565248 601764 802352 1153381 1203528 1604704 2306762 2407056 3209408 3460143 4613524 4814112 6418816 6920286 9227048 9628224 12837632 13840572 18454096 19256448 25675264 27681144 36908192 38512896 51350528 55362288 73816384 77025792 102701056 110724576 147632768 154051584 205402112 221449152 295265536 308103168 410804224 442898304 590531072 616206336 885796608 1181062144 1232412672 1771593216 2362124288 3543186432 4724248576 7086372864 9448497152 14172745728 28345491456