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28890336 = 2531947337
BaseRepresentation
bin110111000110…
…1010011100000
32000100210002110
41232031103200
524343442321
62511115320
7500364246
oct156152340
960323073
1028890336
1115342812
129812b40
135ca6b97
143ba0796
15280a176
hex1b8d4e0

28890336 has 96 divisors (see below), whose sum is σ = 81768960. Its totient is φ = 8902656.

The previous prime is 28890311. The next prime is 28890349. The reversal of 28890336 is 63309882.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 28890294 and 28890303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85560 + ... + 85896.

It is an arithmetic number, because the mean of its divisors is an integer number (851760).

Almost surely, 228890336 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 28890336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40884480).

28890336 is an abundant number, since it is smaller than the sum of its proper divisors (52878624).

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

28890336 is a wasteful number, since it uses less digits than its factorization.

28890336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 28890336 is about 5374.9731162118. The cubic root of 28890336 is about 306.8439260862.

The spelling of 28890336 in words is "twenty-eight million, eight hundred ninety thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 47 48 57 76 94 96 114 141 152 188 228 282 304 337 376 456 564 608 674 752 893 912 1011 1128 1348 1504 1786 1824 2022 2256 2679 2696 3572 4044 4512 5358 5392 6403 7144 8088 10716 10784 12806 14288 15839 16176 19209 21432 25612 28576 31678 32352 38418 42864 47517 51224 63356 76836 85728 95034 102448 126712 153672 190068 204896 253424 300941 307344 380136 506848 601882 614688 760272 902823 1203764 1520544 1805646 2407528 3611292 4815056 7222584 9630112 14445168 28890336