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28925280 = 2532553379
BaseRepresentation
bin110111001010…
…1110101100000
32000102120000200
41232111311200
524401102110
62511545200
7500601156
oct156256540
960376020
1028925280
1115366a9a
12982b200
135cb9a67
143bad3d6
1528156c0
hex1b95d60

28925280 has 144 divisors (see below), whose sum is σ = 100835280. Its totient is φ = 7547904.

The previous prime is 28925261. The next prime is 28925287. The reversal of 28925280 is 8252982.

It is a tau number, because it is divible by the number of its divisors (144).

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 (28925287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76131 + ... + 76509.

It is an arithmetic number, because the mean of its divisors is an integer number (700245).

Almost surely, 228925280 is an apocalyptic number.

28925280 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 28925280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50417640).

28925280 is an abundant number, since it is smaller than the sum of its proper divisors (71910000).

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

28925280 is a wasteful number, since it uses less digits than its factorization.

28925280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 442 counting only the distinct ones).

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

The square root of 28925280 is about 5378.2227547769. Note that the first 3 decimals coincide. The cubic root of 28925280 is about 306.9675895149.

The spelling of 28925280 in words is "twenty-eight million, nine hundred twenty-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 53 60 72 80 90 96 106 120 144 159 160 180 212 240 265 288 318 360 379 424 477 480 530 636 720 758 795 848 954 1060 1137 1272 1440 1516 1590 1696 1895 1908 2120 2274 2385 2544 3032 3180 3411 3790 3816 4240 4548 4770 5088 5685 6064 6360 6822 7580 7632 8480 9096 9540 11370 12128 12720 13644 15160 15264 17055 18192 19080 20087 22740 25440 27288 30320 34110 36384 38160 40174 45480 54576 60261 60640 68220 76320 80348 90960 100435 109152 120522 136440 160696 180783 181920 200870 241044 272880 301305 321392 361566 401740 482088 545760 602610 642784 723132 803480 903915 964176 1205220 1446264 1606960 1807830 1928352 2410440 2892528 3213920 3615660 4820880 5785056 7231320 9641760 14462640 28925280