Search a number
-
+
28767872 = 27797331
BaseRepresentation
bin110110110111…
…1011010000000
32000010120002202
41231233122000
524331032442
62504332332
7466344230
oct155573200
960116082
1028767872
1115269801
1297740a8
135c63213
143b6bcc0
1527d3c32
hex1b6f680

28767872 has 64 divisors (see below), whose sum is σ = 66373440. Its totient is φ = 12165120.

The previous prime is 28767839. The next prime is 28767911. The reversal of 28767872 is 27876782.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 86747 + ... + 87077.

It is an arithmetic number, because the mean of its divisors is an integer number (1037085).

Almost surely, 228767872 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 28767872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33186720).

28767872 is an abundant number, since it is smaller than the sum of its proper divisors (37605568).

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

28767872 is an equidigital number, since it uses as much as digits as its factorization.

28767872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 437 counting only the distinct ones).

The product of its digits is 526848, while the sum is 47.

The square root of 28767872 is about 5363.5689610557. The cubic root of 28767872 is about 306.4097491143.

The spelling of 28767872 in words is "twenty-eight million, seven hundred sixty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 97 112 128 194 224 331 388 448 662 679 776 896 1324 1358 1552 2317 2648 2716 3104 4634 5296 5432 6208 9268 10592 10864 12416 18536 21184 21728 32107 37072 42368 43456 64214 74144 86912 128428 148288 224749 256856 296576 449498 513712 898996 1027424 1797992 2054848 3595984 4109696 7191968 14383936 28767872