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28148148 = 223672197
BaseRepresentation
bin110101101100…
…0000110110100
31221222002000000
41223120012310
524201220043
62443151300
7461153400
oct153300664
957862000
1028148148
1114986136
129515530
135aa7112
143a4a100
1527102d3
hex1ad81b4

28148148 has 126 divisors (see below), whose sum is σ = 86349186. Its totient is φ = 8001504.

The previous prime is 28148137. The next prime is 28148161. The reversal of 28148148 is 84184182.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 28005264 + 142884 = 5292^2 + 378^2 .

It is a tau number, because it is divible by the number of its divisors (126).

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

28148148 is a modest number, since divided by 148148 gives 28 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 142786 + ... + 142982.

It is an arithmetic number, because the mean of its divisors is an integer number (685311).

Almost surely, 228148148 is an apocalyptic number.

28148148 is a gapful number since it is divisible by the number (28) 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 28148148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43174593).

28148148 is an abundant number, since it is smaller than the sum of its proper divisors (58201038).

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

28148148 is a wasteful number, since it uses less digits than its factorization.

28148148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 209 counting only the distinct ones).

The product of its digits is 16384, while the sum is 36.

The square root of 28148148 is about 5305.4828243997. The cubic root of 28148148 is about 304.1935084921.

The spelling of 28148148 in words is "twenty-eight million, one hundred forty-eight thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 197 243 252 294 324 378 394 441 486 567 588 591 729 756 788 882 972 1134 1182 1323 1379 1458 1701 1764 1773 2268 2364 2646 2758 2916 3402 3546 3969 4137 5103 5292 5319 5516 6804 7092 7938 8274 9653 10206 10638 11907 12411 15876 15957 16548 19306 20412 21276 23814 24822 28959 31914 35721 37233 38612 47628 47871 49644 57918 63828 71442 74466 86877 95742 111699 115836 142884 143613 148932 173754 191484 223398 260631 287226 335097 347508 446796 521262 574452 670194 781893 1005291 1042524 1340388 1563786 2010582 2345679 3127572 4021164 4691358 7037037 9382716 14074074 28148148