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28666368 = 29326221
BaseRepresentation
bin110110101011…
…0101000000000
31222221101212100
41231112220000
524314310433
62502230400
7465442263
oct155265000
958841770
1028666368
11151aa515
129725400
135c28c63
143b42cda
1527b3b13
hex1b56a00

28666368 has 60 divisors (see below), whose sum is σ = 82746378. Its totient is φ = 9553920.

The previous prime is 28666357. The next prime is 28666397. The reversal of 28666368 is 86366682.

It can be written as a sum of positive squares in only one way, i.e., 28387584 + 278784 = 5328^2 + 528^2 .

It is a super-2 number, since 2×286663682 = 1643521308622848, 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 5 ways as a sum of consecutive naturals, for example, 1498 + ... + 7718.

Almost surely, 228666368 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 28666368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41373189).

28666368 is an abundant number, since it is smaller than the sum of its proper divisors (54080010).

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

28666368 is an equidigital number, since it uses as much as digits as its factorization.

28666368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6245 (or 6226 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 28666368 is about 5354.0982434020. The cubic root of 28666368 is about 306.0489476998.

The spelling of 28666368 in words is "twenty-eight million, six hundred sixty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 6221 12442 18663 24884 37326 49768 55989 74652 99536 111978 149304 199072 223956 298608 398144 447912 597216 796288 895824 1194432 1592576 1791648 2388864 3185152 3583296 4777728 7166592 9555456 14333184 28666368