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28319130 = 2325779569
BaseRepresentation
bin110110000000…
…1110110011010
31222021202112200
41230001312122
524222203010
62450551030
7462465030
oct154016632
958252480
1028319130
1114a92644
129598476
135b36ba8
143a92550
152745cc0
hex1b01d9a

28319130 has 96 divisors (see below), whose sum is σ = 85363200. Its totient is φ = 6379776.

The previous prime is 28319117. The next prime is 28319147. The reversal of 28319130 is 3191382.

It is a junction number, because it is equal to n+sod(n) for n = 28319094 and 28319103.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49486 + ... + 50054.

It is an arithmetic number, because the mean of its divisors is an integer number (889200).

Almost surely, 228319130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28319130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42681600).

28319130 is an abundant number, since it is smaller than the sum of its proper divisors (57044070).

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

28319130 is a wasteful number, since it uses less digits than its factorization.

28319130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 28319130 is about 5321.5721361267. The cubic root of 28319130 is about 304.8081925795.

The spelling of 28319130 in words is "twenty-eight million, three hundred nineteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 79 90 105 126 158 210 237 315 395 474 553 569 630 711 790 1106 1138 1185 1422 1659 1707 2370 2765 2845 3318 3414 3555 3983 4977 5121 5530 5690 7110 7966 8295 8535 9954 10242 11949 16590 17070 19915 23898 24885 25605 35847 39830 44951 49770 51210 59745 71694 89902 119490 134853 179235 224755 269706 314657 358470 404559 449510 629314 674265 809118 943971 1348530 1573285 1887942 2022795 2831913 3146570 4045590 4719855 5663826 9439710 14159565 28319130