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28241600 = 265219929
BaseRepresentation
bin110101110111…
…0111011000000
31222010211012012
41223232323000
524212212400
62445152052
7462023012
oct153567300
958124165
1028241600
1114a3a372
12955b628
135b0a80a
143a721b2
15272cd35
hex1aeeec0

28241600 has 84 divisors (see below), whose sum is σ = 73228200. Its totient is φ = 10690560.

The previous prime is 28241593. The next prime is 28241623. The reversal of 28241600 is 614282.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29936 + ... + 30864.

Almost surely, 228241600 is an apocalyptic number.

28241600 is a gapful number since it is divisible by the number (20) 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 28241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36614100).

28241600 is an abundant number, since it is smaller than the sum of its proper divisors (44986600).

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

28241600 is a wasteful number, since it uses less digits than its factorization.

28241600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 28241600 is about 5314.2826420882. The cubic root of 28241600 is about 304.5297779789.

Adding to 28241600 its reverse (614282), we get a palindrome (28855882).

The spelling of 28241600 in words is "twenty-eight million, two hundred forty-one thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 152 160 190 200 304 320 380 400 475 608 760 800 929 950 1216 1520 1600 1858 1900 3040 3716 3800 4645 6080 7432 7600 9290 14864 15200 17651 18580 23225 29728 30400 35302 37160 46450 59456 70604 74320 88255 92900 141208 148640 176510 185800 282416 297280 353020 371600 441275 564832 706040 743200 882550 1129664 1412080 1486400 1765100 2824160 3530200 5648320 7060400 14120800 28241600