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28240896 = 210329317
BaseRepresentation
bin110101110111…
…0110000000000
31222010210020010
41223232300000
524212202041
62445144520
7462020655
oct153566000
958123203
1028240896
1114a39892
12955b140
135b0a3b8
143a71c2c
15272ca16
hex1aeec00

28240896 has 88 divisors (see below), whose sum is σ = 78113520. Its totient is φ = 9060352.

The previous prime is 28240837. The next prime is 28240909. The reversal of 28240896 is 69804282.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 88930 + ... + 89246.

Almost surely, 228240896 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 28240896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39056760).

28240896 is an abundant number, since it is smaller than the sum of its proper divisors (49872624).

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

28240896 is a wasteful number, since it uses less digits than its factorization.

28240896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 28240896 is about 5314.2164050780. The cubic root of 28240896 is about 304.5272475422.

The spelling of 28240896 in words is "twenty-eight million, two hundred forty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 317 348 384 464 512 634 696 768 928 951 1024 1268 1392 1536 1856 1902 2536 2784 3072 3712 3804 5072 5568 7424 7608 9193 10144 11136 14848 15216 18386 20288 22272 27579 29696 30432 36772 40576 44544 55158 60864 73544 81152 89088 110316 121728 147088 162304 220632 243456 294176 324608 441264 486912 588352 882528 973824 1176704 1765056 2353408 3530112 4706816 7060224 9413632 14120448 28240896