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28910080 = 29523491
BaseRepresentation
bin110111001001…
…0001000000000
32000101210011201
41232102020000
524400110310
62511350544
7500505643
oct156221000
960353151
1028910080
1115356631
129822454
135cb2b74
143ba7a5a
152810e3a
hex1b92200

28910080 has 80 divisors (see below), whose sum is σ = 72477504. Its totient is φ = 11038720.

The previous prime is 28910053. The next prime is 28910087. The reversal of 28910080 is 8001982.

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

It is not an unprimeable number, because it can be changed into a prime (28910087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58635 + ... + 59125.

Almost surely, 228910080 is an apocalyptic number.

28910080 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 28910080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36238752).

28910080 is an abundant number, since it is smaller than the sum of its proper divisors (43567424).

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

28910080 is an equidigital number, since it uses as much as digits as its factorization.

28910080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 28910080 is about 5376.8094628692. The cubic root of 28910080 is about 306.9138104343.

It can be divided in two parts, 289100 and 80, that added together give a triangular number (289180 = T760).

The spelling of 28910080 in words is "twenty-eight million, nine hundred ten thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 256 320 368 460 491 512 640 736 920 982 1280 1472 1840 1964 2455 2560 2944 3680 3928 4910 5888 7360 7856 9820 11293 11776 14720 15712 19640 22586 29440 31424 39280 45172 56465 58880 62848 78560 90344 112930 125696 157120 180688 225860 251392 314240 361376 451720 628480 722752 903440 1256960 1445504 1806880 2891008 3613760 5782016 7227520 14455040 28910080