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28406112 = 2537411031
BaseRepresentation
bin110110001011…
…1000101100000
31222110011212020
41230113011200
524232443422
62452501440
7463306440
oct154270540
958404766
1028406112
1115041a29
12961a880
135b67667
143ab6120
15276195c
hex1b17160

28406112 has 96 divisors (see below), whose sum is σ = 87381504. Its totient is φ = 7910400.

The previous prime is 28406111. The next prime is 28406113. The reversal of 28406112 is 21160482.

It is an interprime number because it is at equal distance from previous prime (28406111) and next prime (28406113).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28406111) 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 15 ways as a sum of consecutive naturals, for example, 27037 + ... + 28067.

It is an arithmetic number, because the mean of its divisors is an integer number (910224).

Almost surely, 228406112 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 28406112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43690752).

28406112 is an abundant number, since it is smaller than the sum of its proper divisors (58975392).

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

28406112 is a wasteful number, since it uses less digits than its factorization.

28406112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 28406112 is about 5329.7384551214. The cubic root of 28406112 is about 305.1199456569.

Adding to 28406112 its reverse (21160482), we get a palindrome (49566594).

The spelling of 28406112 in words is "twenty-eight million, four hundred six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 82 84 96 112 123 164 168 224 246 287 328 336 492 574 656 672 861 984 1031 1148 1312 1722 1968 2062 2296 3093 3444 3936 4124 4592 6186 6888 7217 8248 9184 12372 13776 14434 16496 21651 24744 27552 28868 32992 42271 43302 49488 57736 84542 86604 98976 115472 126813 169084 173208 230944 253626 295897 338168 346416 507252 591794 676336 692832 887691 1014504 1183588 1352672 1775382 2029008 2367176 3550764 4058016 4734352 7101528 9468704 14203056 28406112