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28790784 = 212321171
BaseRepresentation
bin110110111010…
…1000000000000
32000011201112100
41231311000000
524332301114
62505030400
7466501101
oct155650000
960151470
1028790784
1115284a40
129785400
135c70789
143b763a8
1527da909
hex1b75000

28790784 has 156 divisors (see below), whose sum is σ = 92001312. Its totient is φ = 8601600.

The previous prime is 28790777. The next prime is 28790789. The reversal of 28790784 is 48709782.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28790789) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 405469 + ... + 405539.

It is an arithmetic number, because the mean of its divisors is an integer number (589752).

Almost surely, 228790784 is an apocalyptic number.

28790784 is a gapful number since it is divisible by the number (24) 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 28790784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46000656).

28790784 is an abundant number, since it is smaller than the sum of its proper divisors (63210528).

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

28790784 is a wasteful number, since it uses less digits than its factorization.

28790784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 28790784 is about 5365.7044271931. The cubic root of 28790784 is about 306.4910736001.

The spelling of 28790784 in words is "twenty-eight million, seven hundred ninety thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 71 72 88 96 99 128 132 142 144 176 192 198 213 256 264 284 288 352 384 396 426 512 528 568 576 639 704 768 781 792 852 1024 1056 1136 1152 1278 1408 1536 1562 1584 1704 2048 2112 2272 2304 2343 2556 2816 3072 3124 3168 3408 4096 4224 4544 4608 4686 5112 5632 6144 6248 6336 6816 7029 8448 9088 9216 9372 10224 11264 12288 12496 12672 13632 14058 16896 18176 18432 18744 20448 22528 24992 25344 27264 28116 33792 36352 36864 37488 40896 45056 49984 50688 54528 56232 67584 72704 74976 81792 99968 101376 109056 112464 135168 145408 149952 163584 199936 202752 218112 224928 290816 299904 327168 399872 405504 436224 449856 599808 654336 799744 872448 899712 1199616 1308672 1599488 1799424 2399232 2617344 3198976 3598848 4798464 7197696 9596928 14395392 28790784