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28172760 = 23357113049
BaseRepresentation
bin110101101111…
…0000111011000
31222000022202120
41223132013120
524203012020
62443501240
7461315220
oct153360730
958008676
1028172760
11149a2680
129527820
135ab5395
143a55080
152717740
hex1ade1d8

28172760 has 128 divisors (see below), whose sum is σ = 105408000. Its totient is φ = 5852160.

The previous prime is 28172759. The next prime is 28172803. The reversal of 28172760 is 6727182.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 7716 + ... + 10764.

It is an arithmetic number, because the mean of its divisors is an integer number (823500).

Almost surely, 228172760 is an apocalyptic number.

28172760 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 28172760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52704000).

28172760 is an abundant number, since it is smaller than the sum of its proper divisors (77235240).

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

28172760 is a wasteful number, since it uses less digits than its factorization.

28172760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3081 (or 3077 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 28172760 is about 5307.8018048906. The cubic root of 28172760 is about 304.2821422642.

The spelling of 28172760 in words is "twenty-eight million, one hundred seventy-two thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2310 3049 3080 4620 6098 9147 9240 12196 15245 18294 21343 24392 30490 33539 36588 42686 45735 60980 64029 67078 73176 85372 91470 100617 106715 121960 128058 134156 167695 170744 182940 201234 213430 234773 256116 268312 320145 335390 365880 402468 426860 469546 503085 512232 640290 670780 704319 804936 853720 939092 1006170 1173865 1280580 1341560 1408638 1878184 2012340 2347730 2561160 2817276 3521595 4024680 4695460 5634552 7043190 9390920 14086380 28172760