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28464128 = 210711192
BaseRepresentation
bin110110010010…
…1010000000000
31222120010102222
41230211100000
524241323003
62454030212
7463640540
oct154452000
958503388
1028464128
1115081580
129648368
135b87ba4
143acd320
152773c38
hex1b25400

28464128 has 132 divisors (see below), whose sum is σ = 74871072. Its totient is φ = 10506240.

The previous prime is 28464101. The next prime is 28464131. The reversal of 28464128 is 82146482.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1498103 + ... + 1498121.

Almost surely, 228464128 is an apocalyptic number.

28464128 is a gapful number since it is divisible by the number (28) 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 28464128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37435536).

28464128 is an abundant number, since it is smaller than the sum of its proper divisors (46406944).

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

28464128 is a wasteful number, since it uses less digits than its factorization.

28464128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 39 counting only the distinct ones).

The product of its digits is 24576, while the sum is 35.

The square root of 28464128 is about 5335.1783475344. The cubic root of 28464128 is about 305.3275277569.

The spelling of 28464128 in words is "twenty-eight million, four hundred sixty-four thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 32 38 44 56 64 76 77 88 112 128 133 152 154 176 209 224 256 266 304 308 352 361 418 448 512 532 608 616 704 722 836 896 1024 1064 1216 1232 1408 1444 1463 1672 1792 2128 2432 2464 2527 2816 2888 2926 3344 3584 3971 4256 4864 4928 5054 5632 5776 5852 6688 7168 7942 8512 9728 9856 10108 11264 11552 11704 13376 15884 17024 19456 19712 20216 23104 23408 26752 27797 31768 34048 39424 40432 46208 46816 53504 55594 63536 68096 78848 80864 92416 93632 107008 111188 127072 136192 161728 184832 187264 214016 222376 254144 323456 369664 374528 444752 508288 646912 749056 889504 1016576 1293824 1498112 1779008 2033152 2587648 3558016 4066304 7116032 14232064 28464128