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28695360 = 263571421
BaseRepresentation
bin110110101110…
…1101101000000
31222222212122010
41231131231000
524321222420
62503012520
7465622641
oct155355500
958885563
1028695360
111521a281
12973a140
135c39205
143b4d6c8
1527bc4e0
hex1b5db40

28695360 has 112 divisors (see below), whose sum is σ = 92610432. Its totient is φ = 7526400.

The previous prime is 28695353. The next prime is 28695379. The reversal of 28695360 is 6359682.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67950 + ... + 68370.

Almost surely, 228695360 is an apocalyptic number.

28695360 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 28695360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46305216).

28695360 is an abundant number, since it is smaller than the sum of its proper divisors (63915072).

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

28695360 is a wasteful number, since it uses less digits than its factorization.

28695360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 28695360 is about 5356.8050179188. The cubic root of 28695360 is about 306.1520880944.

The spelling of 28695360 in words is "twenty-eight million, six hundred ninety-five thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 71 80 96 120 142 160 192 213 240 284 320 355 421 426 480 568 710 842 852 960 1065 1136 1263 1420 1684 1704 2105 2130 2272 2526 2840 3368 3408 4210 4260 4544 5052 5680 6315 6736 6816 8420 8520 10104 11360 12630 13472 13632 16840 17040 20208 22720 25260 26944 29891 33680 34080 40416 50520 59782 67360 68160 80832 89673 101040 119564 134720 149455 179346 202080 239128 298910 358692 404160 448365 478256 597820 717384 896730 956512 1195640 1434768 1793460 1913024 2391280 2869536 3586920 4782560 5739072 7173840 9565120 14347680 28695360