Search a number
-
+
28992768 = 28375393
BaseRepresentation
bin110111010011…
…0010100000000
32000112222121020
41232212110000
524410232033
62513225440
7501302010
oct156462400
960488536
1028992768
1115402772
129862280
1360116ac
143bc9c40
15282a6b3
hex1ba6500

28992768 has 72 divisors (see below), whose sum is σ = 88202688. Its totient is φ = 8282112.

The previous prime is 28992767. The next prime is 28992787. The reversal of 28992768 is 86729982.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 28992768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28992767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2680 + ... + 8072.

Almost surely, 228992768 is an apocalyptic number.

28992768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28992768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44101344).

28992768 is an abundant number, since it is smaller than the sum of its proper divisors (59209920).

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

28992768 is an equidigital number, since it uses as much as digits as its factorization.

28992768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5419 (or 5405 counting only the distinct ones).

The product of its digits is 870912, while the sum is 51.

The square root of 28992768 is about 5384.4932909235. The cubic root of 28992768 is about 307.2061413703.

The spelling of 28992768 in words is "twenty-eight million, nine hundred ninety-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 5393 10786 16179 21572 32358 37751 43144 64716 75502 86288 113253 129432 151004 172576 226506 258864 302008 345152 453012 517728 604016 690304 906024 1035456 1208032 1380608 1812048 2070912 2416064 3624096 4141824 4832128 7248192 9664256 14496384 28992768