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28709328 = 24317151233
BaseRepresentation
bin110110110000…
…1000111010000
32000000120210110
41231201013100
524322144303
62503201320
7466011444
oct155410720
960016713
1028709328
111522981a
129746240
135c4268b
143b54824
1527c1703
hex1b611d0

28709328 has 80 divisors (see below), whose sum is σ = 79387776. Its totient is φ = 8908800.

The previous prime is 28709327. The next prime is 28709357. The reversal of 28709328 is 82390782.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28709321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123100 + ... + 123332.

Almost surely, 228709328 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 28709328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39693888).

28709328 is an abundant number, since it is smaller than the sum of its proper divisors (50678448).

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

28709328 is a wasteful number, since it uses less digits than its factorization.

28709328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 28709328 is about 5358.1086215194. The cubic root of 28709328 is about 306.2017551102.

The spelling of 28709328 in words is "twenty-eight million, seven hundred nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 151 204 233 272 302 408 453 466 604 699 816 906 932 1208 1398 1812 1864 2416 2567 2796 3624 3728 3961 5134 5592 7248 7701 7922 10268 11184 11883 15402 15844 20536 23766 30804 31688 35183 41072 47532 61608 63376 70366 95064 105549 123216 140732 190128 211098 281464 422196 562928 598111 844392 1196222 1688784 1794333 2392444 3588666 4784888 7177332 9569776 14354664 28709328