Search a number
-
+
28570880 = 2851317101
BaseRepresentation
bin110110011111…
…1010100000000
31222202112212202
41230333110000
524303232010
62500212332
7464564012
oct154772400
958675782
1028570880
11151447a8
12969a0a8
135bc4660
143b1a1b2
1527956a5
hex1b3f500

28570880 has 144 divisors (see below), whose sum is σ = 78808464. Its totient is φ = 9830400.

The previous prime is 28570879. The next prime is 28570907. The reversal of 28570880 is 8807582.

It can be written as a sum of positive squares in 8 ways, for example, as 861184 + 27709696 = 928^2 + 5264^2 .

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, 282830 + ... + 282930.

It is an arithmetic number, because the mean of its divisors is an integer number (547281).

Almost surely, 228570880 is an apocalyptic number.

28570880 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 28570880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39404232).

28570880 is an abundant number, since it is smaller than the sum of its proper divisors (50237584).

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

28570880 is a wasteful number, since it uses less digits than its factorization.

28570880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 38.

The square root of 28570880 is about 5345.1735238437. The cubic root of 28570880 is about 305.7087521718.

The spelling of 28570880 in words is "twenty-eight million, five hundred seventy thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 32 34 40 52 64 65 68 80 85 101 104 128 130 136 160 170 202 208 221 256 260 272 320 340 404 416 442 505 520 544 640 680 808 832 884 1010 1040 1088 1105 1280 1313 1360 1616 1664 1717 1768 2020 2080 2176 2210 2626 2720 3232 3328 3434 3536 4040 4160 4352 4420 5252 5440 6464 6565 6868 7072 8080 8320 8585 8840 10504 10880 12928 13130 13736 14144 16160 16640 17170 17680 21008 21760 22321 25856 26260 27472 28288 32320 34340 35360 42016 44642 52520 54944 56576 64640 68680 70720 84032 89284 105040 109888 111605 129280 137360 141440 168064 178568 210080 219776 223210 274720 282880 336128 357136 420160 439552 446420 549440 714272 840320 892840 1098880 1428544 1680640 1785680 2197760 2857088 3571360 5714176 7142720 14285440 28570880