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28205496 = 2335111319
BaseRepresentation
bin110101110011…
…0000110111000
31222001222200000
41223212012320
524210033441
62444313000
7461512524
oct153460670
958058600
1028205496
1114a15230
129542760
135ac7257
143a62d84
1527222b6
hex1ae61b8

28205496 has 96 divisors (see below), whose sum is σ = 86486400. Its totient is φ = 8540640.

The previous prime is 28205477. The next prime is 28205501. The reversal of 28205496 is 69450282.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 28205496.

It is a congruent number.

It is an unprimeable number.

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, 20725 + ... + 22043.

It is an arithmetic number, because the mean of its divisors is an integer number (900900).

Almost surely, 228205496 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 28205496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43243200).

28205496 is an abundant number, since it is smaller than the sum of its proper divisors (58280904).

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

28205496 is a wasteful number, since it uses less digits than its factorization.

28205496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 28205496 is about 5310.8846720674. The cubic root of 28205496 is about 304.3999525718.

The spelling of 28205496 in words is "twenty-eight million, two hundred five thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 243 264 297 324 396 486 594 648 792 891 972 1188 1319 1782 1944 2376 2638 2673 3564 3957 5276 5346 7128 7914 10552 10692 11871 14509 15828 21384 23742 29018 31656 35613 43527 47484 58036 71226 87054 94968 106839 116072 130581 142452 174108 213678 261162 284904 320517 348216 391743 427356 522324 641034 783486 854712 1044648 1175229 1282068 1566972 2350458 2564136 3133944 3525687 4700916 7051374 9401832 14102748 28205496