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28698384 = 243111337113
BaseRepresentation
bin110110101111…
…0011100010000
32000000000210010
41231132130100
524321322014
62503034520
7465634521
oct155363420
960000703
1028698384
1115221580
12973ba40
135c3a6c0
143b50848
1527bd359
hex1b5e710

28698384 has 160 divisors (see below), whose sum is σ = 90244224. Its totient is φ = 7741440.

The previous prime is 28698361. The next prime is 28698389. The reversal of 28698384 is 48389682.

It is a happy number.

It is a super-2 number, since 2×286983842 = 1647194488422912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (28698389) 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, 253912 + ... + 254024.

Almost surely, 228698384 is an apocalyptic number.

28698384 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 28698384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45122112).

28698384 is an abundant number, since it is smaller than the sum of its proper divisors (61545840).

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

28698384 is a wasteful number, since it uses less digits than its factorization.

28698384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 179 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 28698384 is about 5357.0872682830. The cubic root of 28698384 is about 306.1628421140.

The spelling of 28698384 in words is "twenty-eight million, six hundred ninety-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 37 39 44 48 52 66 74 78 88 104 111 113 132 143 148 156 176 208 222 226 264 286 296 312 339 407 429 444 452 481 528 572 592 624 678 814 858 888 904 962 1144 1221 1243 1356 1443 1469 1628 1716 1776 1808 1924 2288 2442 2486 2712 2886 2938 3256 3432 3729 3848 4181 4407 4884 4972 5291 5424 5772 5876 6512 6864 7458 7696 8362 8814 9768 9944 10582 11544 11752 12543 14916 15873 16159 16724 17628 19536 19888 21164 23088 23504 25086 29832 31746 32318 33448 35256 42328 45991 48477 50172 54353 59664 63492 64636 66896 70512 84656 91982 96954 100344 108706 126984 129272 137973 163059 183964 193908 200688 217412 253968 258544 275946 326118 367928 387816 434824 551892 597883 652236 735856 775632 869648 1103784 1195766 1304472 1793649 2207568 2391532 2608944 3587298 4783064 7174596 9566128 14349192 28698384