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28338960 = 24351331293
BaseRepresentation
bin110110000011…
…0101100010000
31222022202202010
41230012230100
524223321320
62451222520
7462606606
oct154065420
958282663
1028338960
1114aa6531
1295a7a40
135b42c20
143a99876
15274bae0
hex1b06b10

28338960 has 160 divisors (see below), whose sum is σ = 97993728. Its totient is φ = 6727680.

The previous prime is 28338943. The next prime is 28339001. The reversal of 28338960 is 6983382.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96574 + ... + 96866.

Almost surely, 228338960 is an apocalyptic number.

28338960 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 28338960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48996864).

28338960 is an abundant number, since it is smaller than the sum of its proper divisors (69654768).

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

28338960 is a wasteful number, since it uses less digits than its factorization.

28338960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 28338960 is about 5323.4349812879. The cubic root of 28338960 is about 304.8793216030.

The spelling of 28338960 in words is "twenty-eight million, three hundred thirty-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 31 39 40 48 52 60 62 65 78 80 93 104 120 124 130 155 156 186 195 208 240 248 260 293 310 312 372 390 403 465 496 520 586 620 624 744 780 806 879 930 1040 1172 1209 1240 1465 1488 1560 1612 1758 1860 2015 2344 2418 2480 2930 3120 3224 3516 3720 3809 4030 4395 4688 4836 5860 6045 6448 7032 7440 7618 8060 8790 9083 9672 11427 11720 12090 14064 15236 16120 17580 18166 19045 19344 22854 23440 24180 27249 30472 32240 35160 36332 38090 45415 45708 48360 54498 57135 60944 70320 72664 76180 90830 91416 96720 108996 114270 118079 136245 145328 152360 181660 182832 217992 228540 236158 272490 304720 354237 363320 435984 457080 472316 544980 590395 708474 726640 914160 944632 1089960 1180790 1416948 1771185 1889264 2179920 2361580 2833896 3542370 4723160 5667792 7084740 9446320 14169480 28338960