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28495800 = 2334521759
BaseRepresentation
bin110110010110…
…0111110111000
31222121201220000
41230230332320
524243331200
62454433000
7464132064
oct154547670
958551800
1028495800
11150a3353
129662760
135b99428
143adaaa4
15277d300
hex1b2cfb8

28495800 has 120 divisors (see below), whose sum is σ = 99026400. Its totient is φ = 7594560.

The previous prime is 28495783. The next prime is 28495807. The reversal of 28495800 is 859482.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28495807) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 15321 + ... + 17079.

It is an arithmetic number, because the mean of its divisors is an integer number (825220).

Almost surely, 228495800 is an apocalyptic number.

28495800 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 28495800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49513200).

28495800 is an abundant number, since it is smaller than the sum of its proper divisors (70530600).

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

28495800 is a wasteful number, since it uses less digits than its factorization.

28495800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1787 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 28495800 is about 5338.1457454813. The cubic root of 28495800 is about 305.4407316341.

It can be divided in two parts, 2849 and 5800, that added together give a square (8649 = 932).

The spelling of 28495800 in words is "twenty-eight million, four hundred ninety-five thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 135 150 162 180 200 216 225 270 300 324 360 405 450 540 600 648 675 810 900 1080 1350 1620 1759 1800 2025 2700 3240 3518 4050 5277 5400 7036 8100 8795 10554 14072 15831 16200 17590 21108 26385 31662 35180 42216 43975 47493 52770 63324 70360 79155 87950 94986 105540 126648 131925 142479 158310 175900 189972 211080 237465 263850 284958 316620 351800 379944 395775 474930 527700 569916 633240 712395 791550 949860 1055400 1139832 1187325 1424790 1583100 1899720 2374650 2849580 3166200 3561975 4749300 5699160 7123950 9498600 14247900 28495800