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28861680 = 2435532269
BaseRepresentation
bin110111000011…
…0010011110000
32000022022210010
41232012103300
524342033210
62510334520
7500214561
oct156062360
960268703
1028861680
1115323231
1297ba440
135c96b23
143b94168
152801920
hex1b864f0

28861680 has 80 divisors (see below), whose sum is σ = 91199520. Its totient is φ = 7547904.

The previous prime is 28861667. The next prime is 28861697. The reversal of 28861680 is 8616882.

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 15 ways as a sum of consecutive naturals, for example, 11586 + ... + 13854.

It is an arithmetic number, because the mean of its divisors is an integer number (1139994).

Almost surely, 228861680 is an apocalyptic number.

28861680 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 28861680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45599760).

28861680 is an abundant number, since it is smaller than the sum of its proper divisors (62337840).

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

28861680 is a wasteful number, since it uses less digits than its factorization.

28861680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2338 (or 2332 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 28861680 is about 5372.3067671160. The cubic root of 28861680 is about 306.7424408428.

The spelling of 28861680 in words is "twenty-eight million, eight hundred sixty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 106 120 159 212 240 265 318 424 530 636 795 848 1060 1272 1590 2120 2269 2544 3180 4240 4538 6360 6807 9076 11345 12720 13614 18152 22690 27228 34035 36304 45380 54456 68070 90760 108912 120257 136140 181520 240514 272280 360771 481028 544560 601285 721542 962056 1202570 1443084 1803855 1924112 2405140 2886168 3607710 4810280 5772336 7215420 9620560 14430840 28861680