Search a number
-
+
28509360 = 24351110799
BaseRepresentation
bin110110011000…
…0010010110000
31222122102111020
41230300102300
524244244420
62455015440
7464216445
oct154602260
958572436
1028509360
1115102560
12966a580
135ba2659
143b019cc
152782340
hex1b304b0

28509360 has 80 divisors (see below), whose sum is σ = 96422400. Its totient is φ = 6910720.

The previous prime is 28509319. The next prime is 28509373. The reversal of 28509360 is 6390582.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 2760 + ... + 8039.

It is an arithmetic number, because the mean of its divisors is an integer number (1205280).

Almost surely, 228509360 is an apocalyptic number.

28509360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28509360 is an abundant number, since it is smaller than the sum of its proper divisors (67913040).

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

28509360 is a wasteful number, since it uses less digits than its factorization.

28509360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10826 (or 10820 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 28509360 is about 5339.4156983700. The cubic root of 28509360 is about 305.4891729193.

The spelling of 28509360 in words is "twenty-eight million, five hundred nine thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 10799 21598 32397 43196 53995 64794 86392 107990 118789 129588 161985 172784 215980 237578 259176 323970 356367 431960 475156 518352 593945 647940 712734 863920 950312 1187890 1295880 1425468 1781835 1900624 2375780 2591760 2850936 3563670 4751560 5701872 7127340 9503120 14254680 28509360