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28627056 = 2432613259
BaseRepresentation
bin110110100110…
…1000001110000
31222212101221100
41231031001300
524312031211
62501324400
7465216543
oct155150160
958771840
1028627056
1115182a27
129706700
135c140b3
143b3285a
1527a7156
hex1b4d070

28627056 has 60 divisors (see below), whose sum is σ = 81454360. Its totient is φ = 9383040.

The previous prime is 28627051. The next prime is 28627057. The reversal of 28627056 is 65072682.

28627056 is a `hidden beast` number, since 28 + 627 + 0 + 5 + 6 = 666.

It is a super-3 number, since 3×286270563 (a number of 23 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 28627056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28627051) 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 11 ways as a sum of consecutive naturals, for example, 7155 + ... + 10413.

Almost surely, 228627056 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 28627056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40727180).

28627056 is an abundant number, since it is smaller than the sum of its proper divisors (52827304).

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

28627056 is a wasteful number, since it uses less digits than its factorization.

28627056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3334 (or 3325 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 28627056 is about 5350.4257774499. The cubic root of 28627056 is about 305.9089822854.

The spelling of 28627056 in words is "twenty-eight million, six hundred twenty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 244 366 488 549 732 976 1098 1464 2196 2928 3259 4392 6518 8784 9777 13036 19554 26072 29331 39108 52144 58662 78216 117324 156432 198799 234648 397598 469296 596397 795196 1192794 1590392 1789191 2385588 3180784 3578382 4771176 7156764 9542352 14313528 28627056