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28344168 = 2334173183
BaseRepresentation
bin110110000011…
…1111101101000
31222100000220000
41230013331220
524224003133
62451303000
7462631026
oct154077550
958300800
1028344168
1114aaa436
1295aaa60
135b453c8
143a9b716
15274d413
hex1b07f68

28344168 has 160 divisors (see below), whose sum is σ = 87816960. Its totient is φ = 8501760.

The previous prime is 28344157. The next prime is 28344187. The reversal of 28344168 is 86144382.

It is a super-2 number, since 2×283441682 = 1606783719224448, which contains 22 as substring.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 341455 + ... + 341537.

It is an arithmetic number, because the mean of its divisors is an integer number (548856).

Almost surely, 228344168 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 28344168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43908480).

28344168 is an abundant number, since it is smaller than the sum of its proper divisors (59472792).

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

28344168 is a wasteful number, since it uses less digits than its factorization.

28344168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 136 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 28344168 is about 5323.9241166643. The cubic root of 28344168 is about 304.8979968855.

The spelling of 28344168 in words is "twenty-eight million, three hundred forty-four thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 31 34 36 51 54 62 68 72 81 83 93 102 108 124 136 153 162 166 186 204 216 248 249 279 306 324 332 372 408 459 498 527 558 612 648 664 744 747 837 918 996 1054 1116 1224 1377 1411 1494 1581 1674 1836 1992 2108 2232 2241 2511 2573 2754 2822 2988 3162 3348 3672 4216 4233 4482 4743 5022 5146 5508 5644 5976 6324 6696 6723 7719 8466 8964 9486 10044 10292 11016 11288 12648 12699 13446 14229 15438 16932 17928 18972 20088 20584 23157 25398 26892 28458 30876 33864 37944 38097 42687 43741 46314 50796 53784 56916 61752 69471 76194 85374 87482 92628 101592 113832 114291 131223 138942 152388 170748 174964 185256 208413 228582 262446 277884 304776 341496 349928 393669 416826 457164 524892 555768 787338 833652 914328 1049784 1181007 1574676 1667304 2362014 3149352 3543021 4724028 7086042 9448056 14172084 28344168