Search a number
-
+
28508160 = 2163529
BaseRepresentation
bin110110011000…
…0000000000000
31222122100211210
41230300000000
524244230120
62455010120
7464213112
oct154600000
958570753
1028508160
111510166a
129669940
135ba1c45
143b013b2
152781ce0
hex1b30000

28508160 has 136 divisors (see below), whose sum is σ = 94371120. Its totient is φ = 7340032.

The previous prime is 28508153. The next prime is 28508171. The reversal of 28508160 is 6180582.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 983026 + ... + 983054.

Almost surely, 228508160 is an apocalyptic number.

28508160 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 28508160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47185560).

28508160 is an abundant number, since it is smaller than the sum of its proper divisors (65862960).

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

28508160 is an frugal number, since it uses more digits than its factorization.

28508160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 28508160 is about 5339.3033253412. The cubic root of 28508160 is about 305.4848866995.

The spelling of 28508160 in words is "twenty-eight million, five hundred eight thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 128 145 160 174 192 232 240 256 290 320 348 384 435 464 480 512 580 640 696 768 870 928 960 1024 1160 1280 1392 1536 1740 1856 1920 2048 2320 2560 2784 3072 3480 3712 3840 4096 4640 5120 5568 6144 6960 7424 7680 8192 9280 10240 11136 12288 13920 14848 15360 16384 18560 20480 22272 24576 27840 29696 30720 32768 37120 40960 44544 49152 55680 59392 61440 65536 74240 81920 89088 98304 111360 118784 122880 148480 163840 178176 196608 222720 237568 245760 296960 327680 356352 445440 475136 491520 593920 712704 890880 950272 983040 1187840 1425408 1781760 1900544 2375680 2850816 3563520 4751360 5701632 7127040 9502720 14254080 28508160