Search a number
-
+
28883800 = 23521119691
BaseRepresentation
bin110111000101…
…1101101011000
32000100110010101
41232023231120
524343240200
62511025144
7500336221
oct156135530
960313111
1028883800
1115338910
12980b1b4
135ca3c0a
143b9c248
15280826a
hex1b8bb58

28883800 has 96 divisors (see below), whose sum is σ = 77227200. Its totient is φ = 9936000.

The previous prime is 28883773. The next prime is 28883807. The reversal of 28883800 is 838882.

28883800 is a nontrivial binomial coefficient, being equal to C(7601, 2).

It is a self number, because there is not a number n which added to its sum of digits gives 28883800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28883807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41455 + ... + 42145.

It is an arithmetic number, because the mean of its divisors is an integer number (804450).

Almost surely, 228883800 is an apocalyptic number.

28883800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28883800 is the 7600-th triangular number.

28883800 is the 2534-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28883800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38613600).

28883800 is an abundant number, since it is smaller than the sum of its proper divisors (48343400).

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

28883800 is a wasteful number, since it uses less digits than its factorization.

28883800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The square root of 28883800 is about 5374.3650787791. The cubic root of 28883800 is about 306.8207847474.

The spelling of 28883800 in words is "twenty-eight million, eight hundred eighty-three thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 19 20 22 25 38 40 44 50 55 76 88 95 100 110 152 190 200 209 220 275 380 418 440 475 550 691 760 836 950 1045 1100 1382 1672 1900 2090 2200 2764 3455 3800 4180 5225 5528 6910 7601 8360 10450 13129 13820 15202 17275 20900 26258 27640 30404 34550 38005 41800 52516 60808 65645 69100 76010 105032 131290 138200 144419 152020 190025 262580 288838 304040 328225 380050 525160 577676 656450 722095 760100 1155352 1312900 1444190 1520200 2625800 2888380 3610475 5776760 7220950 14441900 28883800