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28354688 = 271989131
BaseRepresentation
bin110110000101…
…0100010000000
31222100120022122
41230022202000
524224322223
62451423412
7463003505
oct154124200
958316278
1028354688
111500732a
1295b4b68
135b4a12b
143aa14ac
1527515c8
hex1b0a880

28354688 has 64 divisors (see below), whose sum is σ = 60588000. Its totient is φ = 13178880.

The previous prime is 28354681. The next prime is 28354693. The reversal of 28354688 is 88645382.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (28354681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 216383 + ... + 216513.

Almost surely, 228354688 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 28354688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30294000).

28354688 is an abundant number, since it is smaller than the sum of its proper divisors (32233312).

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

28354688 is a wasteful number, since it uses less digits than its factorization.

28354688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 241 counting only the distinct ones).

The product of its digits is 368640, while the sum is 44.

The square root of 28354688 is about 5324.9120180525. The cubic root of 28354688 is about 304.9357134060.

The spelling of 28354688 in words is "twenty-eight million, three hundred fifty-four thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 89 128 131 152 178 262 304 356 524 608 712 1048 1216 1424 1691 2096 2432 2489 2848 3382 4192 4978 5696 6764 8384 9956 11392 11659 13528 16768 19912 23318 27056 39824 46636 54112 79648 93272 108224 159296 186544 216448 221521 318592 373088 443042 746176 886084 1492352 1772168 3544336 7088672 14177344 28354688