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28000756 = 22721973103
BaseRepresentation
bin110101011010…
…0000111110100
31221200120211001
41222310013310
524132011011
62440053044
7460000600
oct152640764
957616731
1028000756
1114895423
129464184
135a54cc4
143a0c500
1526d17c1
hex1ab41f4

28000756 has 72 divisors (see below), whose sum is σ = 61414080. Its totient is φ = 11104128.

The previous prime is 28000741. The next prime is 28000757. The reversal of 28000756 is 65700082.

It is a Harshad number since it is a multiple of its sum of digits (28).

28000756 is a modest number, since divided by 756 gives 28 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28000757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 271801 + ... + 271903.

Almost surely, 228000756 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 28000756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30707040).

28000756 is an abundant number, since it is smaller than the sum of its proper divisors (33413324).

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

28000756 is a wasteful number, since it uses less digits than its factorization.

28000756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 28000756 is about 5291.5740569324. The cubic root of 28000756 is about 303.6616300930.

The spelling of 28000756 in words is "twenty-eight million, seven hundred fifty-six", and thus it is an aban number.

Divisors: 1 2 4 7 14 19 28 38 49 73 76 98 103 133 146 196 206 266 292 412 511 532 721 931 1022 1387 1442 1862 1957 2044 2774 2884 3577 3724 3914 5047 5548 7154 7519 7828 9709 10094 13699 14308 15038 19418 20188 27398 30076 38836 52633 54796 67963 95893 105266 135926 142861 191786 210532 271852 285722 368431 383572 571444 736862 1000027 1473724 2000054 4000108 7000189 14000378 28000756