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28430880 = 253561971
BaseRepresentation
bin110110001110…
…1001000100000
31222111102211120
41230131020200
524234242010
62453212240
7463441602
oct154351040
958442746
1028430880
11150595a5
129631080
135b75a0a
143ac1172
152768e70
hex1b1d220

28430880 has 96 divisors (see below), whose sum is σ = 91119168. Its totient is φ = 7449600.

The previous prime is 28430873. The next prime is 28430929. The reversal of 28430880 is 8803482.

It is a tau number, because it is divible by the number of its divisors (96).

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, 28795 + ... + 29765.

It is an arithmetic number, because the mean of its divisors is an integer number (949158).

Almost surely, 228430880 is an apocalyptic number.

28430880 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 28430880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45559584).

28430880 is an abundant number, since it is smaller than the sum of its proper divisors (62688288).

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

28430880 is a wasteful number, since it uses less digits than its factorization.

28430880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 28430880 is about 5332.0615150240. The cubic root of 28430880 is about 305.2086004675.

The spelling of 28430880 in words is "twenty-eight million, four hundred thirty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 61 80 96 120 122 160 183 240 244 305 366 480 488 610 732 915 971 976 1220 1464 1830 1942 1952 2440 2913 2928 3660 3884 4855 4880 5826 5856 7320 7768 9710 9760 11652 14565 14640 15536 19420 23304 29130 29280 31072 38840 46608 58260 59231 77680 93216 116520 118462 155360 177693 233040 236924 296155 355386 466080 473848 592310 710772 888465 947696 1184620 1421544 1776930 1895392 2369240 2843088 3553860 4738480 5686176 7107720 9476960 14215440 28430880