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28558640 = 24511172383
BaseRepresentation
bin110110011110…
…0010100110000
31222201221002102
41230330110300
524302334030
62500035532
7464513225
oct154742460
958657072
1028558640
1115136590
129692ba8
135bbbc06
143b1594c
152791c45
hex1b3c530

28558640 has 160 divisors (see below), whose sum is σ = 80994816. Its totient is φ = 9236480.

The previous prime is 28558637. The next prime is 28558661. The reversal of 28558640 is 4685582.

It is a junction number, because it is equal to n+sod(n) for n = 28558594 and 28558603.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 344039 + ... + 344121.

Almost surely, 228558640 is an apocalyptic number.

28558640 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 28558640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40497408).

28558640 is an abundant number, since it is smaller than the sum of its proper divisors (52436176).

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

28558640 is a wasteful number, since it uses less digits than its factorization.

28558640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 38.

The square root of 28558640 is about 5344.0284430381. The cubic root of 28558640 is about 305.6650898881.

The spelling of 28558640 in words is "twenty-eight million, five hundred fifty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 23 34 40 44 46 55 68 80 83 85 88 92 110 115 136 166 170 176 184 187 220 230 253 272 332 340 368 374 391 415 440 460 506 664 680 748 782 830 880 913 920 935 1012 1265 1328 1360 1411 1496 1564 1660 1826 1840 1870 1909 1955 2024 2530 2822 2992 3128 3320 3652 3740 3818 3910 4048 4301 4565 5060 5644 6256 6640 7055 7304 7480 7636 7820 8602 9130 9545 10120 11288 14110 14608 14960 15272 15521 15640 17204 18260 19090 20240 20999 21505 22576 28220 30544 31042 31280 32453 34408 36520 38180 41998 43010 56440 62084 64906 68816 73040 76360 77605 83996 86020 104995 112880 124168 129812 152720 155210 162265 167992 172040 209990 248336 259624 310420 324530 335984 344080 356983 419980 519248 620840 649060 713966 839960 1241680 1298120 1427932 1679920 1784915 2596240 2855864 3569830 5711728 7139660 14279320 28558640