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28852560 = 24325113643
BaseRepresentation
bin110111000010…
…0000101010000
32000021212021100
41232010011100
524341240220
62510224400
7500146152
oct156040520
960255240
1028852560
11153173a0
1297b5100
135c92929
143b90ad2
1527edd90
hex1b84150

28852560 has 120 divisors (see below), whose sum is σ = 105734304. Its totient is φ = 6992640.

The previous prime is 28852541. The next prime is 28852567. The reversal of 28852560 is 6525882.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28852567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6099 + ... + 9741.

Almost surely, 228852560 is an apocalyptic number.

28852560 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 28852560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52867152).

28852560 is an abundant number, since it is smaller than the sum of its proper divisors (76881744).

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

28852560 is a wasteful number, since it uses less digits than its factorization.

28852560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3673 (or 3664 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 28852560 is about 5371.4579026555. The cubic root of 28852560 is about 306.7101282658.

It can be divided in two parts, 2885 and 2560, that added together give a palindrome (5445).

The spelling of 28852560 in words is "twenty-eight million, eight hundred fifty-two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3643 3960 7286 7920 10929 14572 18215 21858 29144 32787 36430 40073 43716 54645 58288 65574 72860 80146 87432 109290 120219 131148 145720 160292 163935 174864 200365 218580 240438 262296 291440 320584 327870 360657 400730 437160 480876 524592 601095 641168 655740 721314 801460 874320 961752 1202190 1311480 1442628 1602920 1803285 1923504 2404380 2622960 2885256 3205840 3606570 4808760 5770512 7213140 9617520 14426280 28852560