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28418880 = 263574229
BaseRepresentation
bin110110001101…
…0001101000000
31222110211101010
41230122031000
524233401010
62453040520
7463361610
oct154321500
958424333
1028418880
1115050586
129626140
135b70409
143abaa40
152765620
hex1b1a340

28418880 has 112 divisors (see below), whose sum is σ = 103144320. Its totient is φ = 6494208.

The previous prime is 28418867. The next prime is 28418881. The reversal of 28418880 is 8881482.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28418881) 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, 4606 + ... + 8834.

Almost surely, 228418880 is an apocalyptic number.

28418880 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 28418880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51572160).

28418880 is an abundant number, since it is smaller than the sum of its proper divisors (74725440).

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

28418880 is a wasteful number, since it uses less digits than its factorization.

28418880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4256 (or 4246 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 39.

The square root of 28418880 is about 5330.9361279235. The cubic root of 28418880 is about 305.1656539881.

The spelling of 28418880 in words is "twenty-eight million, four hundred eighteen thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 4229 6720 8458 12687 16916 21145 25374 29603 33832 42290 50748 59206 63435 67664 84580 88809 101496 118412 126870 135328 148015 169160 177618 202992 236824 253740 270656 296030 338320 355236 405984 444045 473648 507480 592060 676640 710472 811968 888090 947296 1014960 1184120 1353280 1420944 1776180 1894592 2029920 2368240 2841888 3552360 4059840 4736480 5683776 7104720 9472960 14209440 28418880