Search a number
-
+
28972566 = 234729881
BaseRepresentation
bin110111010000…
…1011000010110
32000111221220000
41232201120112
524404110231
62512552130
7501156060
oct156413026
960457800
1028972566
1115399577
129852646
13600543c
143bc2730
1528246e6
hex1ba1616

28972566 has 80 divisors (see below), whose sum is σ = 76839840. Its totient is φ = 7983360.

The previous prime is 28972553. The next prime is 28972577. The reversal of 28972566 is 66527982.

28972566 is a `hidden beast` number, since 2 + 89 + 7 + 2 + 566 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32446 + ... + 33326.

It is an arithmetic number, because the mean of its divisors is an integer number (960498).

Almost surely, 228972566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28972566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38419920).

28972566 is an abundant number, since it is smaller than the sum of its proper divisors (47867274).

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

28972566 is a wasteful number, since it uses less digits than its factorization.

28972566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 922 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 28972566 is about 5382.6170214869. The cubic root of 28972566 is about 307.1347716123.

The spelling of 28972566 in words is "twenty-eight million, nine hundred seventy-two thousand, five hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 54 58 63 81 87 126 162 174 189 203 261 378 406 522 567 609 783 881 1134 1218 1566 1762 1827 2349 2643 3654 4698 5286 5481 6167 7929 10962 12334 15858 16443 18501 23787 25549 32886 37002 47574 51098 55503 71361 76647 111006 142722 153294 166509 178843 229941 333018 357686 459882 499527 536529 689823 999054 1073058 1379646 1609587 2069469 3219174 4138938 4828761 9657522 14486283 28972566