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28338880 = 265195979
BaseRepresentation
bin110110000011…
…0101011000000
31222022202122011
41230012223000
524223321010
62451222304
7462606433
oct154065300
958282564
1028338880
1114aa6469
1295a7994
135b42b8b
143a9981a
15274ba8a
hex1b06ac0

28338880 has 112 divisors (see below), whose sum is σ = 73152000. Its totient is φ = 10423296.

The previous prime is 28338859. The next prime is 28338889. The reversal of 28338880 is 8883382.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (28338889) 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, 358681 + ... + 358759.

Almost surely, 228338880 is an apocalyptic number.

28338880 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 28338880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36576000).

28338880 is an abundant number, since it is smaller than the sum of its proper divisors (44813120).

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

28338880 is a wasteful number, since it uses less digits than its factorization.

28338880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 28338880 is about 5323.4274673372. The cubic root of 28338880 is about 304.8790347145.

The spelling of 28338880 in words is "twenty-eight million, three hundred thirty-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 59 64 76 79 80 95 118 152 158 160 190 236 295 304 316 320 380 395 472 590 608 632 760 790 944 1121 1180 1216 1264 1501 1520 1580 1888 2242 2360 2528 3002 3040 3160 3776 4484 4661 4720 5056 5605 6004 6080 6320 7505 8968 9322 9440 11210 12008 12640 15010 17936 18644 18880 22420 23305 24016 25280 30020 35872 37288 44840 46610 48032 60040 71744 74576 88559 89680 93220 96064 120080 149152 177118 179360 186440 240160 298304 354236 358720 372880 442795 480320 708472 745760 885590 1416944 1491520 1771180 2833888 3542360 5667776 7084720 14169440 28338880