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28590912 = 2632721013
BaseRepresentation
bin110110100010…
…0001101000000
31222210120100200
41231010031000
524304402122
62500445200
7465006300
oct155041500
958716320
1028590912
1115158859
1296a9800
135c007cc
143b23600
15279b5ac
hex1b44340

28590912 has 126 divisors (see below), whose sum is σ = 95424498. Its totient is φ = 8160768.

The previous prime is 28590911. The next prime is 28590929. The reversal of 28590912 is 21909582.

It can be written as a sum of positive squares in only one way, i.e., 14930496 + 13660416 = 3864^2 + 3696^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28590911) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27718 + ... + 28730.

Almost surely, 228590912 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 28590912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47712249).

28590912 is an abundant number, since it is smaller than the sum of its proper divisors (66833586).

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

28590912 is a wasteful number, since it uses less digits than its factorization.

28590912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 28590912 is about 5347.0470355141. The cubic root of 28590912 is about 305.7801830255.

The spelling of 28590912 in words is "twenty-eight million, five hundred ninety thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 144 147 168 192 196 224 252 288 294 336 392 441 448 504 576 588 672 784 882 1008 1013 1176 1344 1568 1764 2016 2026 2352 3039 3136 3528 4032 4052 4704 6078 7056 7091 8104 9117 9408 12156 14112 14182 16208 18234 21273 24312 28224 28364 32416 36468 42546 48624 49637 56728 63819 64832 72936 85092 97248 99274 113456 127638 145872 148911 170184 194496 198548 226912 255276 291744 297822 340368 397096 446733 453824 510552 583488 595644 680736 794192 893466 1021104 1191288 1361472 1588384 1786932 2042208 2382576 3176768 3573864 4084416 4765152 7147728 9530304 14295456 28590912