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28767960 = 2334513683
BaseRepresentation
bin110110110111…
…1011011011000
32000010120020000
41231233123120
524331033320
62504333000
7466344414
oct155573330
960116200
1028767960
1115269881
129774160
135c63280
143b6bd44
1527d3c90
hex1b6f6d8

28767960 has 160 divisors (see below), whose sum is σ = 104282640. Its totient is φ = 7070976.

The previous prime is 28767953. The next prime is 28767967. The reversal of 28767960 is 6976782.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (28767953) and next prime (28767967).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28767967) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41779 + ... + 42461.

Almost surely, 228767960 is an apocalyptic number.

28767960 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 28767960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52141320).

28767960 is an abundant number, since it is smaller than the sum of its proper divisors (75514680).

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

28767960 is a wasteful number, since it uses less digits than its factorization.

28767960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 28767960 is about 5363.5771645423. The cubic root of 28767960 is about 306.4100615465.

The spelling of 28767960 in words is "twenty-eight million, seven hundred sixty-seven thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 81 90 104 108 117 120 130 135 156 162 180 195 216 234 260 270 312 324 351 360 390 405 468 520 540 585 648 683 702 780 810 936 1053 1080 1170 1366 1404 1560 1620 1755 2049 2106 2340 2732 2808 3240 3415 3510 4098 4212 4680 5265 5464 6147 6830 7020 8196 8424 8879 10245 10530 12294 13660 14040 16392 17758 18441 20490 21060 24588 26637 27320 30735 35516 36882 40980 42120 44395 49176 53274 55323 61470 71032 73764 79911 81960 88790 92205 106548 110646 122940 133185 147528 159822 177580 184410 213096 221292 239733 245880 266370 276615 319644 355160 368820 399555 442584 479466 532740 553230 639288 719199 737640 799110 958932 1065480 1106460 1198665 1438398 1598220 1917864 2212920 2397330 2876796 3196440 3595995 4794660 5753592 7191990 9589320 14383980 28767960