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28576512 = 283279157
BaseRepresentation
bin110110100000…
…0101100000000
31222202211121100
41231000230000
524303422022
62500254400
7464616306
oct155005400
958684540
1028576512
1115148a58
1296a1400
135bc70a3
143b1c276
1527971ac
hex1b40b00

28576512 has 108 divisors (see below), whose sum is σ = 83967520. Its totient is φ = 9345024.

The previous prime is 28576501. The next prime is 28576531. The reversal of 28576512 is 21567582.

It is a happy number.

It is a super-2 number, since 2×285765122 = 1633234076172288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 181938 + ... + 182094.

Almost surely, 228576512 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 28576512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41983760).

28576512 is an abundant number, since it is smaller than the sum of its proper divisors (55391008).

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

28576512 is a wasteful number, since it uses less digits than its factorization.

28576512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 241 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 28576512 is about 5345.7003283012. The cubic root of 28576512 is about 305.7288383408.

The spelling of 28576512 in words is "twenty-eight million, five hundred seventy-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 79 96 128 144 157 158 192 237 256 288 314 316 384 471 474 576 628 632 711 768 942 948 1152 1256 1264 1413 1422 1884 1896 2304 2512 2528 2826 2844 3768 3792 5024 5056 5652 5688 7536 7584 10048 10112 11304 11376 12403 15072 15168 20096 20224 22608 22752 24806 30144 30336 37209 40192 45216 45504 49612 60288 60672 74418 90432 91008 99224 111627 120576 148836 180864 182016 198448 223254 297672 361728 396896 446508 595344 793792 893016 1190688 1587584 1786032 2381376 3175168 3572064 4762752 7144128 9525504 14288256 28576512