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28001376 = 253513277
BaseRepresentation
bin110101011010…
…0010001100000
31221200121200000
41222310101200
524132021001
62440100000
7460002444
oct152642140
957617600
1028001376
1114895937
129464600
135a55380
143a0c824
1526d1a86
hex1ab4460

28001376 has 144 divisors (see below), whose sum is σ = 89251344. Its totient is φ = 8584704.

The previous prime is 28001359. The next prime is 28001399. The reversal of 28001376 is 67310082.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 100950 + ... + 101226.

It is an arithmetic number, because the mean of its divisors is an integer number (619801).

Almost surely, 228001376 is an apocalyptic number.

28001376 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 28001376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44625672).

28001376 is an abundant number, since it is smaller than the sum of its proper divisors (61249968).

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

28001376 is a wasteful number, since it uses less digits than its factorization.

28001376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 28001376 is about 5291.6326403105. The cubic root of 28001376 is about 303.6638713280.

The spelling of 28001376 in words is "twenty-eight million, one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 243 277 288 312 324 351 416 432 468 486 554 624 648 702 831 864 936 972 1053 1108 1248 1296 1404 1662 1872 1944 2106 2216 2493 2592 2808 3159 3324 3601 3744 3888 4212 4432 4986 5616 6318 6648 7202 7479 7776 8424 8864 9972 10803 11232 12636 13296 14404 14958 16848 19944 21606 22437 25272 26592 28808 29916 32409 33696 39888 43212 44874 50544 57616 59832 64818 67311 79776 86424 89748 97227 101088 115232 119664 129636 134622 172848 179496 194454 239328 259272 269244 291681 345696 358992 388908 518544 538488 583362 717984 777816 875043 1037088 1076976 1166724 1555632 1750086 2153952 2333448 3111264 3500172 4666896 7000344 9333792 14000688 28001376