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28247688 = 23327411367
BaseRepresentation
bin110101111000…
…0011010001000
31222011010112200
41223300122020
524212411223
62445240200
7462046530
oct153603210
958133480
1028247688
1114a439a7
129563060
135b10511
143a744c0
15272ea43
hex1af0688

28247688 has 96 divisors (see below), whose sum is σ = 89631360. Its totient is φ = 7868160.

The previous prime is 28247683. The next prime is 28247707. The reversal of 28247688 is 88674282.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (28247683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19981 + ... + 21347.

It is an arithmetic number, because the mean of its divisors is an integer number (933660).

Almost surely, 228247688 is an apocalyptic number.

28247688 is a gapful number since it is divisible by the number (28) 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 28247688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44815680).

28247688 is an abundant number, since it is smaller than the sum of its proper divisors (61383672).

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

28247688 is a wasteful number, since it uses less digits than its factorization.

28247688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427 (or 1420 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 28247688 is about 5314.8554072524. The cubic root of 28247688 is about 304.5516587515.

The spelling of 28247688 in words is "twenty-eight million, two hundred forty-seven thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 41 42 56 63 72 82 84 123 126 164 168 246 252 287 328 369 492 504 574 738 861 984 1148 1367 1476 1722 2296 2583 2734 2952 3444 4101 5166 5468 6888 8202 9569 10332 10936 12303 16404 19138 20664 24606 28707 32808 38276 49212 56047 57414 76552 86121 98424 112094 114828 168141 172242 224188 229656 336282 344484 392329 448376 504423 672564 688968 784658 1008846 1176987 1345128 1569316 2017692 2353974 3138632 3530961 4035384 4707948 7061922 9415896 14123844 28247688