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28433280 = 273559251
BaseRepresentation
bin110110001110…
…1101110000000
31222111120010110
41230131232000
524234331110
62453231320
7463451601
oct154355600
958446113
1028433280
1115060387
129632540
135b76b35
143ac1da8
152769a20
hex1b1db80

28433280 has 128 divisors (see below), whose sum is σ = 92534400. Its totient is φ = 7424000.

The previous prime is 28433269. The next prime is 28433287. The reversal of 28433280 is 8233482.

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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28433287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113155 + ... + 113405.

It is an arithmetic number, because the mean of its divisors is an integer number (722925).

Almost surely, 228433280 is an apocalyptic number.

28433280 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 28433280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46267200).

28433280 is an abundant number, since it is smaller than the sum of its proper divisors (64101120).

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

28433280 is a wasteful number, since it uses less digits than its factorization.

28433280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 28433280 is about 5332.2865639423. The cubic root of 28433280 is about 305.2171883132.

The spelling of 28433280 in words is "twenty-eight million, four hundred thirty-three thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 59 60 64 80 96 118 120 128 160 177 192 236 240 251 295 320 354 384 472 480 502 590 640 708 753 885 944 960 1004 1180 1255 1416 1506 1770 1888 1920 2008 2360 2510 2832 3012 3540 3765 3776 4016 4720 5020 5664 6024 7080 7530 7552 8032 9440 10040 11328 12048 14160 14809 15060 16064 18880 20080 22656 24096 28320 29618 30120 32128 37760 40160 44427 48192 56640 59236 60240 74045 80320 88854 96384 113280 118472 120480 148090 160640 177708 222135 236944 240960 296180 355416 444270 473888 481920 592360 710832 888540 947776 1184720 1421664 1777080 1895552 2369440 2843328 3554160 4738880 5686656 7108320 9477760 14216640 28433280