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28346112 = 28341367
BaseRepresentation
bin110110000100…
…0011100000000
31222100010120000
41230020130000
524224033422
62451320000
7462636504
oct154103400
958303500
1028346112
1115000943
1295b0000
135b46262
143a9c304
15274dcac
hex1b08700

28346112 has 90 divisors (see below), whose sum is σ = 84584808. Its totient is φ = 9441792.

The previous prime is 28346099. The next prime is 28346113. The reversal of 28346112 is 21164382.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28346113) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 20053 + ... + 21419.

Almost surely, 228346112 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 28346112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42292404).

28346112 is an abundant number, since it is smaller than the sum of its proper divisors (56238696).

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

28346112 is an equidigital number, since it uses as much as digits as its factorization.

28346112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1395 (or 1372 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 28346112 is about 5324.1066856328. The cubic root of 28346112 is about 304.9049672572.

The spelling of 28346112 in words is "twenty-eight million, three hundred forty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1367 1728 2304 2592 2734 3456 4101 5184 5468 6912 8202 10368 10936 12303 16404 20736 21872 24606 32808 36909 43744 49212 65616 73818 87488 98424 110727 131232 147636 174976 196848 221454 262464 295272 349952 393696 442908 524928 590544 787392 885816 1049856 1181088 1574784 1771632 2362176 3149568 3543264 4724352 7086528 9448704 14173056 28346112