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28248187000 = 2353113178101
BaseRepresentation
bin11010010011101110…
…010010000001111000
32200220122221120201011
4122103232102001320
5430323013441000
620551012403304
72020005425215
oct322356220170
980818846634
1028248187000
1110a86401aa0
125584316534
132882477167
14151d916b0c
15b04e3d2ba
hex693b92078

28248187000 has 128 divisors (see below), whose sum is σ = 72346322880. Its totient is φ = 10238400000.

The previous prime is 28248186991. The next prime is 28248187007. The reversal of 28248187000 is 78184282.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28248187007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3482950 + ... + 3491050.

Almost surely, 228248187000 is an apocalyptic number.

28248187000 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 28248187000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36173161440).

28248187000 is an abundant number, since it is smaller than the sum of its proper divisors (44098135880).

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

28248187000 is a wasteful number, since it uses less digits than its factorization.

28248187000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8450 (or 8436 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 40.

The spelling of 28248187000 in words is "twenty-eight billion, two hundred forty-eight million, one hundred eighty-seven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 317 440 500 550 634 1000 1100 1268 1375 1585 2200 2536 2750 3170 3487 5500 6340 6974 7925 8101 11000 12680 13948 15850 16202 17435 27896 31700 32404 34870 39625 40505 63400 64808 69740 79250 81010 87175 89111 139480 158500 162020 174350 178222 202525 317000 324040 348700 356444 405050 435875 445555 697400 712888 810100 871750 891110 1012625 1620200 1743500 1782220 2025250 2227775 2568017 3487000 3564440 4050500 4455550 5136034 8101000 8911100 10272068 11138875 12840085 17822200 20544136 22277750 25680170 28248187 44555500 51360340 56496374 64200425 89111000 102720680 112992748 128400850 141240935 225985496 256801700 282481870 321002125 513603400 564963740 642004250 706204675 1129927480 1284008500 1412409350 2568017000 2824818700 3531023375 5649637400 7062046750 14124093500 28248187000