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28585020 = 22355389101
BaseRepresentation
bin110110100001…
…0110000111100
31222210021021110
41231002300330
524304210040
62500402020
7464653152
oct155026074
958707243
1028585020
1115154392
1296a6310
135bcac19
143b213d2
152799980
hex1b42c3c

28585020 has 96 divisors (see below), whose sum is σ = 83280960. Its totient is φ = 7321600.

The previous prime is 28585019. The next prime is 28585031. The reversal of 28585020 is 2058582.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 282970 + ... + 283070.

It is an arithmetic number, because the mean of its divisors is an integer number (867510).

Almost surely, 228585020 is an apocalyptic number.

28585020 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 28585020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41640480).

28585020 is an abundant number, since it is smaller than the sum of its proper divisors (54695940).

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

28585020 is a wasteful number, since it uses less digits than its factorization.

28585020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 28585020 is about 5346.4960488155. The cubic root of 28585020 is about 305.7591765764.

The spelling of 28585020 in words is "twenty-eight million, five hundred eighty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 89 101 106 159 178 202 212 265 267 303 318 356 404 445 505 530 534 606 636 795 890 1010 1060 1068 1212 1335 1515 1590 1780 2020 2670 3030 3180 4717 5340 5353 6060 8989 9434 10706 14151 16059 17978 18868 21412 23585 26765 26967 28302 32118 35956 44945 47170 53530 53934 56604 64236 70755 80295 89890 94340 107060 107868 134835 141510 160590 179780 269670 283020 321180 476417 539340 952834 1429251 1905668 2382085 2858502 4764170 5717004 7146255 9528340 14292510 28585020