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28935680 = 29589127
BaseRepresentation
bin110111001100…
…0011000000000
32000110002021212
41232120120000
524401420210
62512105252
7500643404
oct156303000
960402255
1028935680
1115373894
129835228
135cc1707
143bb3104
152818805
hex1b98600

28935680 has 80 divisors (see below), whose sum is σ = 70709760. Its totient is φ = 11354112.

The previous prime is 28935661. The next prime is 28935701. The reversal of 28935680 is 8653982.

It is a tau number, because it is divible by the number of its divisors (80).

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, 227777 + ... + 227903.

It is an arithmetic number, because the mean of its divisors is an integer number (883872).

Almost surely, 228935680 is an apocalyptic number.

28935680 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 28935680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35354880).

28935680 is an abundant number, since it is smaller than the sum of its proper divisors (41774080).

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

28935680 is an equidigital number, since it uses as much as digits as its factorization.

28935680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The square root of 28935680 is about 5379.1895300315. The cubic root of 28935680 is about 307.0043748736.

The spelling of 28935680 in words is "twenty-eight million, nine hundred thirty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 89 127 128 160 178 254 256 320 356 445 508 512 635 640 712 890 1016 1270 1280 1424 1780 2032 2540 2560 2848 3560 4064 5080 5696 7120 8128 10160 11303 11392 14240 16256 20320 22606 22784 28480 32512 40640 45212 45568 56515 56960 65024 81280 90424 113030 113920 162560 180848 226060 227840 325120 361696 452120 723392 904240 1446784 1808480 2893568 3616960 5787136 7233920 14467840 28935680