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28001928 = 2333161617
BaseRepresentation
bin110101011010…
…0011010001000
31221200122102110
41222310122020
524132030203
62440102320
7460004163
oct152643210
957618373
1028001928
1114896299
1294649a0
135a556b6
143a0cada
1526d1d03
hex1ab4688

28001928 has 64 divisors (see below), whose sum is σ = 73566720. Its totient is φ = 8870400.

The previous prime is 28001927. The next prime is 28001951. The reversal of 28001928 is 82910082.

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 junction number, because it is equal to n+sod(n) for n = 28001895 and 28001904.

It is not an unprimeable number, because it can be changed into a prime (28001921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45076 + ... + 45692.

It is an arithmetic number, because the mean of its divisors is an integer number (1149480).

Almost surely, 228001928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28001928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36783360).

28001928 is an abundant number, since it is smaller than the sum of its proper divisors (45564792).

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

28001928 is a wasteful number, since it uses less digits than its factorization.

28001928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 28001928 is about 5291.6847978692. The cubic root of 28001928 is about 303.6658667223.

The spelling of 28001928 in words is "twenty-eight million, one thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 61 62 93 122 124 183 186 244 248 366 372 488 617 732 744 1234 1464 1851 1891 2468 3702 3782 4936 5673 7404 7564 11346 14808 15128 19127 22692 37637 38254 45384 57381 75274 76508 112911 114762 150548 153016 225822 229524 301096 451644 459048 903288 1166747 2333494 3500241 4666988 7000482 9333976 14000964 28001928