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28588080 = 2435235179
BaseRepresentation
bin110110100001…
…1100000110000
31222210102110210
41231003200300
524304304310
62500424120
7464665113
oct155034060
958712423
1028588080
1115156714
1296a8040
135bcc431
143b2257a
15279a820
hex1b43830

28588080 has 80 divisors (see below), whose sum is σ = 92494080. Its totient is φ = 7290624.

The previous prime is 28588069. The next prime is 28588099. The reversal of 28588080 is 8088582.

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, 2931 + ... + 8109.

It is an arithmetic number, because the mean of its divisors is an integer number (1156176).

Almost surely, 228588080 is an apocalyptic number.

28588080 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 28588080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46247040).

28588080 is an abundant number, since it is smaller than the sum of its proper divisors (63906000).

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

28588080 is a wasteful number, since it uses less digits than its factorization.

28588080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5218 (or 5212 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 39.

The square root of 28588080 is about 5346.7822098904. The cubic root of 28588080 is about 305.7700865996.

The spelling of 28588080 in words is "twenty-eight million, five hundred eighty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 5179 5520 10358 15537 20716 25895 31074 41432 51790 62148 77685 82864 103580 119117 124296 155370 207160 238234 248592 310740 357351 414320 476468 595585 621480 714702 952936 1191170 1242960 1429404 1786755 1905872 2382340 2858808 3573510 4764680 5717616 7147020 9529360 14294040 28588080