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28663824 = 243731741
BaseRepresentation
bin110110101011…
…0000000010000
31222221021101010
41231112000100
524314220244
62502210520
7465432000
oct155260020
958837333
1028663824
11151a8612
129723a40
135c27a57
143b42000
1527b2eb9
hex1b56010

28663824 has 80 divisors (see below), whose sum is σ = 86403200. Its totient is φ = 8184960.

The previous prime is 28663813. The next prime is 28663847. The reversal of 28663824 is 42836682.

It is a super-2 number, since 2×286638242 = 1643229612605952, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15594 + ... + 17334.

It is an arithmetic number, because the mean of its divisors is an integer number (1080040).

Almost surely, 228663824 is an apocalyptic number.

28663824 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 28663824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43201600).

28663824 is an abundant number, since it is smaller than the sum of its proper divisors (57739376).

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

28663824 is a wasteful number, since it uses less digits than its factorization.

28663824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773 (or 1753 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 28663824 is about 5353.8606631103. The cubic root of 28663824 is about 306.0398939828.

The spelling of 28663824 in words is "twenty-eight million, six hundred sixty-three thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 343 392 588 686 784 1029 1176 1372 1741 2058 2352 2744 3482 4116 5223 5488 6964 8232 10446 12187 13928 16464 20892 24374 27856 36561 41784 48748 73122 83568 85309 97496 146244 170618 194992 255927 292488 341236 511854 584976 597163 682472 1023708 1194326 1364944 1791489 2047416 2388652 3582978 4094832 4777304 7165956 9554608 14331912 28663824