Search a number
-
+
28972636 = 22711109863
BaseRepresentation
bin110111010000…
…1011001011100
32000111221222121
41232201121130
524404111021
62512552324
7501156220
oct156413134
960457877
1028972636
1115399630
1298526a4
136005494
143bc2780
152824741
hex1ba165c

28972636 has 48 divisors (see below), whose sum is σ = 63866880. Its totient is φ = 11171520.

The previous prime is 28972613. The next prime is 28972649. The reversal of 28972636 is 63627982.

It is a junction number, because it is equal to n+sod(n) for n = 28972592 and 28972601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33141 + ... + 34003.

It is an arithmetic number, because the mean of its divisors is an integer number (1330560).

Almost surely, 228972636 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 28972636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31933440).

28972636 is an abundant number, since it is smaller than the sum of its proper divisors (34894244).

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

28972636 is a wasteful number, since it uses less digits than its factorization.

28972636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 992 counting only the distinct ones).

The product of its digits is 217728, while the sum is 43.

The square root of 28972636 is about 5382.6235238961. The cubic root of 28972636 is about 307.1350189661.

The spelling of 28972636 in words is "twenty-eight million, nine hundred seventy-two thousand, six hundred thirty-six".

Divisors: 1 2 4 7 11 14 22 28 44 77 109 154 218 308 436 763 863 1199 1526 1726 2398 3052 3452 4796 6041 8393 9493 12082 16786 18986 24164 33572 37972 66451 94067 132902 188134 265804 376268 658469 1034737 1316938 2069474 2633876 4138948 7243159 14486318 28972636