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28453200 = 24352131181
BaseRepresentation
bin110110010001…
…0100101010000
31222112120110020
41230202211100
524241000300
62453503440
7463563636
oct154424520
958476406
1028453200
1115074346
129641b80
135b82c19
143ac9356
1527708a0
hex1b22950

28453200 has 120 divisors (see below), whose sum is σ = 92348256. Its totient is φ = 7488000.

The previous prime is 28453199. The next prime is 28453237. The reversal of 28453200 is 235482.

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 (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157110 + ... + 157290.

Almost surely, 228453200 is an apocalyptic number.

28453200 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 28453200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46174128).

28453200 is an abundant number, since it is smaller than the sum of its proper divisors (63895056).

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

28453200 is a wasteful number, since it uses less digits than its factorization.

28453200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 28453200 is about 5334.1541035107. The cubic root of 28453200 is about 305.2884487881.

Adding to 28453200 its reverse (235482), we get a palindrome (28688682).

The spelling of 28453200 in words is "twenty-eight million, four hundred fifty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 131 150 181 200 240 262 300 362 393 400 524 543 600 655 724 786 905 1048 1086 1200 1310 1448 1572 1810 1965 2096 2172 2620 2715 2896 3144 3275 3620 3930 4344 4525 5240 5430 6288 6550 7240 7860 8688 9050 9825 10480 10860 13100 13575 14480 15720 18100 19650 21720 23711 26200 27150 31440 36200 39300 43440 47422 52400 54300 71133 72400 78600 94844 108600 118555 142266 157200 189688 217200 237110 284532 355665 379376 474220 569064 592775 711330 948440 1138128 1185550 1422660 1778325 1896880 2371100 2845320 3556650 4742200 5690640 7113300 9484400 14226600 28453200