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28816560 = 243454447
BaseRepresentation
bin110110111101…
…1010010110000
32000020000220000
41231323102300
524334112220
62505350000
7466636203
oct155732260
960200800
1028816560
11152a2343
129798300
135c7c426
143b8193a
1527e3390
hex1b7b4b0

28816560 has 100 divisors (see below), whose sum is σ = 100106688. Its totient is φ = 7682688.

The previous prime is 28816549. The next prime is 28816561. The reversal of 28816560 is 6561882.

It is a happy number.

28816560 is a `hidden beast` number, since 2 + 88 + 16 + 560 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (28816561) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4257 + ... + 8703.

Almost surely, 228816560 is an apocalyptic number.

28816560 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 28816560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50053344).

28816560 is an abundant number, since it is smaller than the sum of its proper divisors (71290128).

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

28816560 is a wasteful number, since it uses less digits than its factorization.

28816560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4472 (or 4457 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 28816560 is about 5368.1058111777. The cubic root of 28816560 is about 306.5825120903.

The spelling of 28816560 in words is "twenty-eight million, eight hundred sixteen thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 4447 6480 8894 13341 17788 22235 26682 35576 40023 44470 53364 66705 71152 80046 88940 106728 120069 133410 160092 177880 200115 213456 240138 266820 320184 355760 360207 400230 480276 533640 600345 640368 720414 800460 960552 1067280 1200690 1440828 1600920 1801035 1921104 2401380 2881656 3201840 3602070 4802760 5763312 7204140 9605520 14408280 28816560