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28322320 = 24513113241
BaseRepresentation
bin110110000001…
…0101000010000
31222021220220211
41230002220100
524222303240
62451013504
7462510235
oct154025020
958256824
1028322320
1114a94a84
12959a294
135b38490
143a9378c
152746bea
hex1b02a10

28322320 has 80 divisors (see below), whose sum is σ = 71839152. Its totient is φ = 10321920.

The previous prime is 28322317. The next prime is 28322347. The reversal of 28322320 is 2322382.

It can be written as a sum of positive squares in 8 ways, for example, as 5588496 + 22733824 = 2364^2 + 4768^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 28322291 and 28322300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117400 + ... + 117640.

Almost surely, 228322320 is an apocalyptic number.

28322320 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 28322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35919576).

28322320 is an abundant number, since it is smaller than the sum of its proper divisors (43516832).

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

28322320 is a wasteful number, since it uses less digits than its factorization.

28322320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 28322320 is about 5321.8718511441. The cubic root of 28322320 is about 304.8196371593.

The spelling of 28322320 in words is "twenty-eight million, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 113 130 208 226 241 260 452 482 520 565 904 964 1040 1130 1205 1469 1808 1928 2260 2410 2938 3133 3856 4520 4820 5876 6266 7345 9040 9640 11752 12532 14690 15665 19280 23504 25064 27233 29380 31330 50128 54466 58760 62660 108932 117520 125320 136165 217864 250640 272330 354029 435728 544660 708058 1089320 1416116 1770145 2178640 2832232 3540290 5664464 7080580 14161160 28322320