Search a number
-
+
28894976 = 281131331
BaseRepresentation
bin110111000111…
…0011100000000
32000101000110022
41232032130000
524344114401
62511153012
7500413625
oct156163400
960330408
1028894976
1115346250
129815768
135ca9026
143ba234c
15280b71b
hex1b8e700

28894976 has 72 divisors (see below), whose sum is σ = 65146368. Its totient is φ = 12672000.

The previous prime is 28894967. The next prime is 28894997. The reversal of 28894976 is 67949882.

It is a super-3 number, since 3×288949763 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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, 87131 + ... + 87461.

Almost surely, 228894976 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 28894976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32573184).

28894976 is an abundant number, since it is smaller than the sum of its proper divisors (36251392).

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

28894976 is a wasteful number, since it uses less digits than its factorization.

28894976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 375 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 53.

The square root of 28894976 is about 5375.4047289483. The cubic root of 28894976 is about 306.8603523357.

The spelling of 28894976 in words is "twenty-eight million, eight hundred ninety-four thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 128 176 248 256 331 341 352 496 662 682 704 992 1324 1364 1408 1984 2648 2728 2816 3641 3968 5296 5456 7282 7936 10261 10592 10912 14564 20522 21184 21824 29128 41044 42368 43648 58256 82088 84736 87296 112871 116512 164176 225742 233024 328352 451484 466048 656704 902968 932096 1313408 1805936 2626816 3611872 7223744 14447488 28894976