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28563864 = 23372107227
BaseRepresentation
bin110110011110…
…1100110011000
31222202012020220
41230331212120
524303020424
62500120040
7464534400
oct154754630
958665226
1028563864
111513a4aa
129696020
135bc13c4
143b17800
152793579
hex1b3d998

28563864 has 96 divisors (see below), whose sum is σ = 84214080. Its totient is φ = 8049216.

The previous prime is 28563853. The next prime is 28563877. The reversal of 28563864 is 46836582.

It is a super-2 number, since 2×285638642 = 1631788653220992, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 125719 + ... + 125945.

It is an arithmetic number, because the mean of its divisors is an integer number (877230).

Almost surely, 228563864 is an apocalyptic number.

28563864 is a gapful number since it is divisible by the number (24) 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 28563864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42107040).

28563864 is an abundant number, since it is smaller than the sum of its proper divisors (55650216).

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

28563864 is a wasteful number, since it uses less digits than its factorization.

28563864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 346 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 28563864 is about 5344.5171905421. The cubic root of 28563864 is about 305.6837263624.

The spelling of 28563864 in words is "twenty-eight million, five hundred sixty-three thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 107 147 168 196 214 227 294 321 392 428 454 588 642 681 749 856 908 1176 1284 1362 1498 1589 1816 2247 2568 2724 2996 3178 4494 4767 5243 5448 5992 6356 8988 9534 10486 11123 12712 15729 17976 19068 20972 22246 24289 31458 33369 38136 41944 44492 48578 62916 66738 72867 88984 97156 125832 133476 145734 170023 194312 266952 291468 340046 510069 582936 680092 1020138 1190161 1360184 2040276 2380322 3570483 4080552 4760644 7140966 9521288 14281932 28563864