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28808960 = 28571317
BaseRepresentation
bin110110111100…
…1011100000000
32000012122110112
41231321130000
524333341320
62505250452
7466605065
oct155713400
960178415
1028808960
1115297664
129793a28
135c78b2b
143b7cc6c
1527e0ec5
hex1b79700

28808960 has 72 divisors (see below), whose sum is σ = 70199136. Its totient is φ = 11325440.

The previous prime is 28808957. The next prime is 28808971. The reversal of 28808960 is 6980882.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90722 + ... + 91038.

It is an arithmetic number, because the mean of its divisors is an integer number (974988).

Almost surely, 228808960 is an apocalyptic number.

28808960 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 28808960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35099568).

28808960 is an abundant number, since it is smaller than the sum of its proper divisors (41390176).

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

28808960 is an equidigital number, since it uses as much as digits as its factorization.

28808960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 41.

The square root of 28808960 is about 5367.3978797924. The cubic root of 28808960 is about 306.5555573120. Note that the first 5 decimals are identical.

The spelling of 28808960 in words is "twenty-eight million, eight hundred eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 71 80 128 142 160 256 284 317 320 355 568 634 640 710 1136 1268 1280 1420 1585 2272 2536 2840 3170 4544 5072 5680 6340 9088 10144 11360 12680 18176 20288 22507 22720 25360 40576 45014 45440 50720 81152 90028 90880 101440 112535 180056 202880 225070 360112 405760 450140 720224 900280 1440448 1800560 2880896 3601120 5761792 7202240 14404480 28808960