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28104960 = 283513563
BaseRepresentation
bin110101100110…
…1100100000000
31221212212202110
41223031210000
524143324320
62442215320
7460613442
oct153154400
957785673
1028104960
1114956744
1294b4540
135a90570
143a38492
1527025e0
hex1acd900

28104960 has 144 divisors (see below), whose sum is σ = 96836544. Its totient is φ = 6905856.

The previous prime is 28104911. The next prime is 28104997. The reversal of 28104960 is 6940182.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 49639 + ... + 50201.

It is an arithmetic number, because the mean of its divisors is an integer number (672476).

Almost surely, 228104960 is an apocalyptic number.

28104960 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 28104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48418272).

28104960 is an abundant number, since it is smaller than the sum of its proper divisors (68731584).

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

28104960 is a wasteful number, since it uses less digits than its factorization.

28104960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 28104960 is about 5301.4111328966. The cubic root of 28104960 is about 304.0378530889.

The spelling of 28104960 in words is "twenty-eight million, one hundred four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 256 260 312 320 384 390 416 480 520 563 624 640 768 780 832 960 1040 1126 1248 1280 1560 1664 1689 1920 2080 2252 2496 2815 3120 3328 3378 3840 4160 4504 4992 5630 6240 6756 7319 8320 8445 9008 9984 11260 12480 13512 14638 16640 16890 18016 21957 22520 24960 27024 29276 33780 36032 36595 43914 45040 49920 54048 58552 67560 72064 73190 87828 90080 108096 109785 117104 135120 144128 146380 175656 180160 216192 219570 234208 270240 292760 351312 360320 432384 439140 468416 540480 585520 702624 720640 878280 936832 1080960 1171040 1405248 1756560 1873664 2161920 2342080 2810496 3513120 4684160 5620992 7026240 9368320 14052480 28104960