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28431216 = 24331131193
BaseRepresentation
bin110110001110…
…1001101110000
31222111110022000
41230131031300
524234244331
62453214000
7463442562
oct154351560
958443260
1028431216
1115059880
129631300
135b75c08
143ac1332
1527690e6
hex1b1d370

28431216 has 160 divisors (see below), whose sum is σ = 92375040. Its totient is φ = 8294400.

The previous prime is 28431211. The next prime is 28431217. The reversal of 28431216 is 61213482.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 28431216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28431211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147216 + ... + 147408.

It is an arithmetic number, because the mean of its divisors is an integer number (577344).

Almost surely, 228431216 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 28431216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46187520).

28431216 is an abundant number, since it is smaller than the sum of its proper divisors (63943824).

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

28431216 is a wasteful number, since it uses less digits than its factorization.

28431216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 240 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 28431216 is about 5332.0930224444. The cubic root of 28431216 is about 305.2098027950.

Adding to 28431216 its reverse (61213482), we get a palindrome (89644698).

The spelling of 28431216 in words is "twenty-eight million, four hundred thirty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 31 33 36 44 48 54 62 66 72 88 93 99 108 124 132 144 176 186 193 198 216 248 264 279 297 341 372 386 396 432 496 528 558 579 594 682 744 772 792 837 1023 1116 1158 1188 1364 1488 1544 1584 1674 1737 2046 2123 2232 2316 2376 2728 3069 3088 3348 3474 4092 4246 4464 4632 4752 5211 5456 5983 6138 6369 6696 6948 8184 8492 9207 9264 10422 11966 12276 12738 13392 13896 16368 16984 17949 18414 19107 20844 23932 24552 25476 27792 33968 35898 36828 38214 41688 47864 49104 50952 53847 57321 65813 71796 73656 76428 83376 95728 101904 107694 114642 131626 143592 147312 152856 161541 197439 215388 229284 263252 287184 305712 323082 394878 430776 458568 526504 592317 646164 789756 861552 917136 1053008 1184634 1292328 1579512 1776951 2369268 2584656 3159024 3553902 4738536 7107804 9477072 14215608 28431216