Search a number
-
+
28527936 = 263314793
BaseRepresentation
bin110110011010…
…0110101000000
31222200100222020
41230310311000
524300343221
62455241440
7464324553
oct154646500
958610866
1028527936
1115115508
129679280
135baac48
143b0869a
152787ac6
hex1b34d40

28527936 has 56 divisors (see below), whose sum is σ = 77931264. Its totient is φ = 9200640.

The previous prime is 28527929. The next prime is 28527937. The reversal of 28527936 is 63972582.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28527937) 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 7 ways as a sum of consecutive naturals, for example, 3556 + ... + 8348.

Almost surely, 228527936 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 28527936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38965632).

28527936 is an abundant number, since it is smaller than the sum of its proper divisors (49403328).

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

28527936 is a wasteful number, since it uses less digits than its factorization.

28527936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4839 (or 4829 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 28527936 is about 5341.1549312859. The cubic root of 28527936 is about 305.5555082657. Note that the first 4 decimals are identical.

The spelling of 28527936 in words is "twenty-eight million, five hundred twenty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 992 1488 1984 2976 4793 5952 9586 14379 19172 28758 38344 57516 76688 115032 148583 153376 230064 297166 306752 445749 460128 594332 891498 920256 1188664 1782996 2377328 3565992 4754656 7131984 9509312 14263968 28527936