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28510080 = 273531479
BaseRepresentation
bin110110011000…
…0011110000000
31222122110110220
41230300132000
524244310310
62455023040
7464221524
oct154603600
958573426
1028510080
1115103055
12966aa80
135ba2a91
143b01d84
152782670
hex1b30780

28510080 has 128 divisors (see below), whose sum is σ = 94003200. Its totient is φ = 7342080.

The previous prime is 28510063. The next prime is 28510093. The reversal of 28510080 is 8001582.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 28510080.

It is a congruent number.

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, 59281 + ... + 59759.

It is an arithmetic number, because the mean of its divisors is an integer number (734400).

Almost surely, 228510080 is an apocalyptic number.

28510080 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 28510080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47001600).

28510080 is an abundant number, since it is smaller than the sum of its proper divisors (65493120).

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

28510080 is a wasteful number, since it uses less digits than its factorization.

28510080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 28510080 is about 5339.4831210521. The cubic root of 28510080 is about 305.4917445935.

The spelling of 28510080 in words is "twenty-eight million, five hundred ten thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 128 155 160 186 192 240 248 310 320 372 384 465 479 480 496 620 640 744 930 958 960 992 1240 1437 1488 1860 1916 1920 1984 2395 2480 2874 2976 3720 3832 3968 4790 4960 5748 5952 7185 7440 7664 9580 9920 11496 11904 14370 14849 14880 15328 19160 19840 22992 28740 29698 29760 30656 38320 44547 45984 57480 59396 59520 61312 74245 76640 89094 91968 114960 118792 148490 153280 178188 183936 222735 229920 237584 296980 306560 356376 445470 459840 475168 593960 712752 890940 919680 950336 1187920 1425504 1781880 1900672 2375840 2851008 3563760 4751680 5702016 7127520 9503360 14255040 28510080