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28466960 = 2454767113
BaseRepresentation
bin110110010010…
…1111100010000
31222120021022212
41230211330100
524241420320
62454051252
7463652024
oct154457420
958507285
1028466960
1115083715
129649b28
135b89272
143ad0384
1527749c5
hex1b25f10

28466960 has 80 divisors (see below), whose sum is σ = 69209856. Its totient is φ = 10881024.

The previous prime is 28466957. The next prime is 28466981. The reversal of 28466960 is 6966482.

It is a tau number, because it is divible by the number of its divisors (80).

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, 251864 + ... + 251976.

Almost surely, 228466960 is an apocalyptic number.

28466960 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 28466960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34604928).

28466960 is an abundant number, since it is smaller than the sum of its proper divisors (40742896).

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

28466960 is a wasteful number, since it uses less digits than its factorization.

28466960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The square root of 28466960 is about 5335.4437491178. The cubic root of 28466960 is about 305.3376534712.

The spelling of 28466960 in words is "twenty-eight million, four hundred sixty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 47 67 80 94 113 134 188 226 235 268 335 376 452 470 536 565 670 752 904 940 1072 1130 1340 1808 1880 2260 2680 3149 3760 4520 5311 5360 6298 7571 9040 10622 12596 15142 15745 21244 25192 26555 30284 31490 37855 42488 50384 53110 60568 62980 75710 84976 106220 121136 125960 151420 212440 251920 302840 355837 424880 605680 711674 1423348 1779185 2846696 3558370 5693392 7116740 14233480 28466960