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28865460 = 223513231609
BaseRepresentation
bin110111000011…
…1001110110100
32000022111222010
41232013032310
524342143320
62510404220
7500231601
oct156071664
960274863
1028865460
1115326058
129800670
135c98770
143b956a8
152802ae0
hex1b873b4

28865460 has 96 divisors (see below), whose sum is σ = 90881280. Its totient is φ = 6792192.

The previous prime is 28865453. The next prime is 28865467. The reversal of 28865460 is 6456882.

28865460 = 3012 + 3022 + ... + 4842.

It is an interprime number because it is at equal distance from previous prime (28865453) and next prime (28865467).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28865467) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17136 + ... + 18744.

It is an arithmetic number, because the mean of its divisors is an integer number (946680).

Almost surely, 228865460 is an apocalyptic number.

28865460 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 28865460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45440640).

28865460 is an abundant number, since it is smaller than the sum of its proper divisors (62015820).

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

28865460 is a wasteful number, since it uses less digits than its factorization.

28865460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1657 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 28865460 is about 5372.6585597821. The cubic root of 28865460 is about 306.7558315603.

The spelling of 28865460 in words is "twenty-eight million, eight hundred sixty-five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 23 26 30 39 46 52 60 65 69 78 92 115 130 138 156 195 230 260 276 299 345 390 460 598 690 780 897 1196 1380 1495 1609 1794 2990 3218 3588 4485 4827 5980 6436 8045 8970 9654 16090 17940 19308 20917 24135 32180 37007 41834 48270 62751 74014 83668 96540 104585 111021 125502 148028 185035 209170 222042 251004 313755 370070 418340 444084 481091 555105 627510 740140 962182 1110210 1255020 1443273 1924364 2220420 2405455 2886546 4810910 5773092 7216365 9621820 14432730 28865460