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28281312 = 25353637
BaseRepresentation
bin110101111100…
…0100111100000
31222012211200000
41223320213200
524220000222
62450100000
7462246543
oct153704740
958184600
1028281312
1114a67194
12957a600
135b22907
143a8285a
1527399ac
hex1af89e0

28281312 has 72 divisors (see below), whose sum is σ = 83426616. Its totient is φ = 9424512.

The previous prime is 28281311. The next prime is 28281343. The reversal of 28281312 is 21318282.

It is a tau number, because it is divible by the number of its divisors (72).

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.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28281311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5958 + ... + 9594.

It is an arithmetic number, because the mean of its divisors is an integer number (1158703).

Almost surely, 228281312 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 28281312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41713308).

28281312 is an abundant number, since it is smaller than the sum of its proper divisors (55145304).

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

28281312 is an equidigital number, since it uses as much as digits as its factorization.

28281312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3662 (or 3642 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 28281312 is about 5318.0176757886. The cubic root of 28281312 is about 304.6724495761.

Adding to 28281312 its reverse (21318282), we get a palindrome (49599594).

The spelling of 28281312 in words is "twenty-eight million, two hundred eighty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3637 3888 7274 7776 10911 14548 21822 29096 32733 43644 58192 65466 87288 98199 116384 130932 174576 196398 261864 294597 349152 392796 523728 589194 785592 883791 1047456 1178388 1571184 1767582 2356776 3142368 3535164 4713552 7070328 9427104 14140656 28281312