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28486200 = 23352197241
BaseRepresentation
bin110110010101…
…0101000111000
31222121020201110
41230222220320
524243024300
62454320320
7464062101
oct154525070
958536643
1028486200
1115097116
1296590a0
135b94c52
143ad73a8
15277a550
hex1b2aa38

28486200 has 96 divisors (see below), whose sum is σ = 89123760. Its totient is φ = 7526400.

The previous prime is 28486193. The next prime is 28486217. The reversal of 28486200 is 268482.

It is a happy number.

It is a super-2 number, since 2×284862002 = 1622927180880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118080 + ... + 118320.

Almost surely, 228486200 is an apocalyptic number.

28486200 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 28486200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44561880).

28486200 is an abundant number, since it is smaller than the sum of its proper divisors (60637560).

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

28486200 is a wasteful number, since it uses less digits than its factorization.

28486200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 28486200 is about 5337.2464810987. The cubic root of 28486200 is about 305.4064276271.

The spelling of 28486200 in words is "twenty-eight million, four hundred eighty-six thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 197 200 241 300 394 482 591 600 723 788 964 985 1182 1205 1446 1576 1928 1970 2364 2410 2892 2955 3615 3940 4728 4820 4925 5784 5910 6025 7230 7880 9640 9850 11820 12050 14460 14775 18075 19700 23640 24100 28920 29550 36150 39400 47477 48200 59100 72300 94954 118200 142431 144600 189908 237385 284862 379816 474770 569724 712155 949540 1139448 1186925 1424310 1899080 2373850 2848620 3560775 4747700 5697240 7121550 9495400 14243100 28486200