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28405260 = 223251361199
BaseRepresentation
bin110110001011…
…0111000001100
31222110010200200
41230112320030
524232432020
62452453500
7463304112
oct154267014
958403620
1028405260
1115041324
12961a290
135b67160
143ab5ab2
152761590
hex1b16e0c

28405260 has 144 divisors (see below), whose sum is σ = 94785600. Its totient is φ = 6842880.

The previous prime is 28405259. The next prime is 28405261. The reversal of 28405260 is 6250482.

It is an interprime number because it is at equal distance from previous prime (28405259) and next prime (28405261).

It is not an unprimeable number, because it can be changed into a prime (28405261) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142641 + ... + 142839.

Almost surely, 228405260 is an apocalyptic number.

28405260 is a gapful number since it is divisible by the number (20) 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 28405260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47392800).

28405260 is an abundant number, since it is smaller than the sum of its proper divisors (66380340).

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

28405260 is a wasteful number, since it uses less digits than its factorization.

28405260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 28405260 is about 5329.6585256468. The cubic root of 28405260 is about 305.1168950835.

It can be divided in two parts, 2840 and 5260, that added together give a square (8100 = 902).

The spelling of 28405260 in words is "twenty-eight million, four hundred five thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 61 65 78 90 117 122 130 156 180 183 195 199 234 244 260 305 366 390 398 468 549 585 597 610 732 780 793 796 915 995 1098 1170 1194 1220 1586 1791 1830 1990 2196 2340 2379 2388 2587 2745 2985 3172 3582 3660 3965 3980 4758 5174 5490 5970 7137 7164 7761 7930 8955 9516 10348 10980 11895 11940 12139 12935 14274 15522 15860 17910 23283 23790 24278 25870 28548 31044 35685 35820 36417 38805 46566 47580 48556 51740 60695 71370 72834 77610 93132 109251 116415 121390 142740 145668 155220 157807 182085 218502 232830 242780 315614 364170 437004 465660 473421 546255 631228 728340 789035 946842 1092510 1420263 1578070 1893684 2185020 2367105 2840526 3156140 4734210 5681052 7101315 9468420 14202630 28405260