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28741832 = 23721719227
BaseRepresentation
bin110110110100…
…1000011001000
32000002020101022
41231221003020
524324214312
62504012012
7466205300
oct155510310
960066338
1028741832
1115251189
129761008
135c54402
143b62600
1527cb172
hex1b690c8

28741832 has 96 divisors (see below), whose sum is σ = 70178400. Its totient is φ = 10934784.

The previous prime is 28741831. The next prime is 28741877. The reversal of 28741832 is 23814782.

It is a junction number, because it is equal to n+sod(n) for n = 28741792 and 28741801.

It is not an unprimeable number, because it can be changed into a prime (28741831) 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 23 ways as a sum of consecutive naturals, for example, 126503 + ... + 126729.

It is an arithmetic number, because the mean of its divisors is an integer number (731025).

Almost surely, 228741832 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 28741832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35089200).

28741832 is an abundant number, since it is smaller than the sum of its proper divisors (41436568).

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

28741832 is a wasteful number, since it uses less digits than its factorization.

28741832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 272 counting only the distinct ones).

The product of its digits is 21504, while the sum is 35.

The square root of 28741832 is about 5361.1409233483. The cubic root of 28741832 is about 306.3172695765.

The spelling of 28741832 in words is "twenty-eight million, seven hundred forty-one thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 17 19 28 34 38 49 56 68 76 98 119 133 136 152 196 227 238 266 323 392 454 476 532 646 833 908 931 952 1064 1292 1589 1666 1816 1862 2261 2584 3178 3332 3724 3859 4313 4522 6356 6664 7448 7718 8626 9044 11123 12712 15436 15827 17252 18088 22246 27013 30191 30872 31654 34504 44492 54026 60382 63308 73321 88984 108052 120764 126616 146642 189091 211337 216104 241528 293284 378182 422674 513247 586568 756364 845348 1026494 1512728 1690696 2052988 3592729 4105976 7185458 14370916 28741832