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28213536 = 2531323747
BaseRepresentation
bin110101110100…
…0000100100000
31222002101200210
41223220010200
524210313121
62444414120
7461545131
oct153500440
958071623
1028213536
1114a2027a
129547340
135acab00
143a65c88
152724876
hex1ae8120

28213536 has 144 divisors (see below), whose sum is σ = 84115584. Its totient is φ = 8266752.

The previous prime is 28213531. The next prime is 28213541. The reversal of 28213536 is 63531282.

It is an interprime number because it is at equal distance from previous prime (28213531) and next prime (28213541).

It is a super-2 number, since 2×282135362 = 1592007227246592, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28213531) 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, 600265 + ... + 600311.

It is an arithmetic number, because the mean of its divisors is an integer number (584136).

Almost surely, 228213536 is an apocalyptic number.

28213536 is a gapful number since it is divisible by the number (26) 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 28213536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42057792).

28213536 is an abundant number, since it is smaller than the sum of its proper divisors (55902048).

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

28213536 is a wasteful number, since it uses less digits than its factorization.

28213536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 102 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 28213536 is about 5311.6415541714. The cubic root of 28213536 is about 304.4288729769.

The spelling of 28213536 in words is "twenty-eight million, two hundred thirteen thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 37 39 47 48 52 74 78 94 96 104 111 141 148 156 169 188 208 222 282 296 312 338 376 416 444 481 507 564 592 611 624 676 752 888 962 1014 1128 1184 1222 1248 1352 1443 1504 1739 1776 1833 1924 2028 2256 2444 2704 2886 3478 3552 3666 3848 4056 4512 4888 5217 5408 5772 6253 6956 7332 7696 7943 8112 9776 10434 11544 12506 13912 14664 15392 15886 16224 18759 19552 20868 22607 23088 23829 25012 27824 29328 31772 37518 41736 45214 46176 47658 50024 55648 58656 63544 67821 75036 83472 90428 95316 100048 127088 135642 150072 166944 180856 190632 200096 254176 271284 293891 300144 361712 381264 542568 587782 600288 723424 762528 881673 1085136 1175564 1763346 2170272 2351128 3526692 4702256 7053384 9404512 14106768 28213536