Search a number
-
+
28976960 = 265831091
BaseRepresentation
bin110111010001…
…0011101000000
32000112011220202
41232202131000
524404230320
62513024332
7501204635
oct156423500
960464822
1028976960
11153a1901
1298550a8
13600743c
143bc418c
152825b75
hex1ba2740

28976960 has 56 divisors (see below), whose sum is σ = 69896736. Its totient is φ = 11440640.

The previous prime is 28976953. The next prime is 28976977. The reversal of 28976960 is 6967982.

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, 26015 + ... + 27105.

It is an arithmetic number, because the mean of its divisors is an integer number (1248156).

Almost surely, 228976960 is an apocalyptic number.

28976960 is a gapful number since it is divisible by the number (20) 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 28976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34948368).

28976960 is an abundant number, since it is smaller than the sum of its proper divisors (40919776).

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

28976960 is a wasteful number, since it uses less digits than its factorization.

28976960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 47.

The square root of 28976960 is about 5383.0251717784. The cubic root of 28976960 is about 307.1502975869.

The spelling of 28976960 in words is "twenty-eight million, nine hundred seventy-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 83 160 166 320 332 415 664 830 1091 1328 1660 2182 2656 3320 4364 5312 5455 6640 8728 10910 13280 17456 21820 26560 34912 43640 69824 87280 90553 174560 181106 349120 362212 452765 724424 905530 1448848 1811060 2897696 3622120 5795392 7244240 14488480 28976960