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28515840 = 29354779
BaseRepresentation
bin110110011000…
…1111000000000
31222122202101020
41230301320000
524300001330
62455105440
7464244363
oct154617000
958582336
1028515840
1115107411
129672280
135ba55a2
143b040da
152784210
hex1b31e00

28515840 has 160 divisors (see below), whose sum is σ = 94279680. Its totient is φ = 7348224.

The previous prime is 28515829. The next prime is 28515841. The reversal of 28515840 is 4851582.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28515841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 360921 + ... + 360999.

It is an arithmetic number, because the mean of its divisors is an integer number (589248).

Almost surely, 228515840 is an apocalyptic number.

28515840 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 28515840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47139840).

28515840 is an abundant number, since it is smaller than the sum of its proper divisors (65763840).

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

28515840 is an equidigital number, since it uses as much as digits as its factorization.

28515840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 33.

The square root of 28515840 is about 5340.0224718628. The cubic root of 28515840 is about 305.5123164282.

The spelling of 28515840 in words is "twenty-eight million, five hundred fifteen thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 64 79 80 94 96 120 128 141 158 160 188 192 235 237 240 256 282 316 320 376 384 395 470 474 480 512 564 632 640 705 752 768 790 940 948 960 1128 1185 1264 1280 1410 1504 1536 1580 1880 1896 1920 2256 2370 2528 2560 2820 3008 3160 3713 3760 3792 3840 4512 4740 5056 5640 6016 6320 7426 7520 7584 7680 9024 9480 10112 11139 11280 12032 12640 14852 15040 15168 18048 18565 18960 20224 22278 22560 24064 25280 29704 30080 30336 36096 37130 37920 40448 44556 45120 50560 55695 59408 60160 60672 72192 74260 75840 89112 90240 101120 111390 118816 120320 121344 148520 151680 178224 180480 202240 222780 237632 297040 303360 356448 360960 445560 475264 594080 606720 712896 891120 950528 1188160 1425792 1782240 1901056 2376320 2851584 3564480 4752640 5703168 7128960 9505280 14257920 28515840