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28538928 = 24321143419
BaseRepresentation
bin110110011011…
…1100000110000
31222200221001100
41230313200300
524301221203
62455404400
7464401605
oct154674060
958627040
1028538928
11151227a0
129683700
135bb2c52
143b0c6ac
15278aea3
hex1b37830

28538928 has 120 divisors (see below), whose sum is σ = 89369280. Its totient is φ = 8426880.

The previous prime is 28538927. The next prime is 28538959. The reversal of 28538928 is 82983582.

28538928 is a `hidden beast` number, since 28 + 538 + 92 + 8 = 666.

It is a super-2 number, since 2×285389282 = 1628940822778368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (28538921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67903 + ... + 68321.

It is an arithmetic number, because the mean of its divisors is an integer number (744744).

Almost surely, 228538928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28538928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44684640).

28538928 is an abundant number, since it is smaller than the sum of its proper divisors (60830352).

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

28538928 is a wasteful number, since it uses less digits than its factorization.

28538928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 478 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 28538928 is about 5342.1838231195. The cubic root of 28538928 is about 305.5947474038.

It can be divided in two parts, 2853 and 8928, that added together give a triangular number (11781 = T153).

The spelling of 28538928 in words is "twenty-eight million, five hundred thirty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 43 44 48 66 72 86 88 99 129 132 144 172 176 198 258 264 344 387 396 419 473 516 528 688 774 792 838 946 1032 1257 1419 1548 1584 1676 1892 2064 2514 2838 3096 3352 3771 3784 4257 4609 5028 5676 6192 6704 7542 7568 8514 9218 10056 11352 13827 15084 17028 18017 18436 20112 22704 27654 30168 34056 36034 36872 41481 54051 55308 60336 68112 72068 73744 82962 108102 110616 144136 162153 165924 198187 216204 221232 288272 324306 331848 396374 432408 594561 648612 663696 792748 864816 1189122 1297224 1585496 1783683 2378244 2594448 3170992 3567366 4756488 7134732 9512976 14269464 28538928