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28021200 = 24352191229
BaseRepresentation
bin110101011100…
…1000111010000
31221201121212020
41222321013100
524133134300
62440331440
7460114314
oct152710720
957647766
1028021200
11148a9819
129473b80
135a613bc
143a15b44
1526d78a0
hex1ab91d0

28021200 has 120 divisors (see below), whose sum is σ = 94562400. Its totient is φ = 7073280.

The previous prime is 28021193. The next prime is 28021207. The reversal of 28021200 is 212082.

It is an interprime number because it is at equal distance from previous prime (28021193) and next prime (28021207).

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 28021200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28021207) 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, 22186 + ... + 23414.

It is an arithmetic number, because the mean of its divisors is an integer number (788020).

Almost surely, 228021200 is an apocalyptic number.

28021200 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 28021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47281200).

28021200 is an abundant number, since it is smaller than the sum of its proper divisors (66541200).

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

28021200 is a wasteful number, since it uses less digits than its factorization.

28021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 28021200 is about 5293.5054548002. The cubic root of 28021200 is about 303.7355155755.

Adding to 28021200 its reverse (212082), we get a palindrome (28233282).

The spelling of 28021200 in words is "twenty-eight million, twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 38 40 48 50 57 60 75 76 80 95 100 114 120 150 152 190 200 228 240 285 300 304 380 400 456 475 570 600 760 912 950 1140 1200 1229 1425 1520 1900 2280 2458 2850 3687 3800 4560 4916 5700 6145 7374 7600 9832 11400 12290 14748 18435 19664 22800 23351 24580 29496 30725 36870 46702 49160 58992 61450 70053 73740 92175 93404 98320 116755 122900 140106 147480 184350 186808 233510 245800 280212 294960 350265 368700 373616 467020 491600 560424 583775 700530 737400 934040 1120848 1167550 1401060 1474800 1751325 1868080 2335100 2802120 3502650 4670200 5604240 7005300 9340400 14010600 28021200