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28249600 = 29522207
BaseRepresentation
bin110101111000…
…0111000000000
31222011020011111
41223300320000
524212441400
62445253104
7462055231
oct153607000
958136144
1028249600
1114a45385
129564194
135b11352
143a75088
1527303ba
hex1af0e00

28249600 has 60 divisors (see below), whose sum is σ = 70022304. Its totient is φ = 11294720.

The previous prime is 28249591. The next prime is 28249607. The reversal of 28249600 is 694282.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28249607) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11697 + ... + 13903.

Almost surely, 228249600 is an apocalyptic number.

28249600 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 28249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35011152).

28249600 is an abundant number, since it is smaller than the sum of its proper divisors (41772704).

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

28249600 is an equidigital number, since it uses as much as digits as its factorization.

28249600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2235 (or 2214 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 28249600 is about 5315.0352773994. The cubic root of 28249600 is about 304.5585299880.

The spelling of 28249600 in words is "twenty-eight million, two hundred forty-nine thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1280 1600 2207 2560 3200 4414 6400 8828 11035 12800 17656 22070 35312 44140 55175 70624 88280 110350 141248 176560 220700 282496 353120 441400 564992 706240 882800 1129984 1412480 1765600 2824960 3531200 5649920 7062400 14124800 28249600