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28076328 = 2333731599
BaseRepresentation
bin110101100011…
…0100100101000
31221211102111000
41223012210220
524141420303
62441435000
7460434120
oct153064450
957742430
1028076328
1114937185
12949ba60
135a80517
143a2bc80
1526e8da3
hex1ac6928

28076328 has 128 divisors (see below), whose sum is σ = 92160000. Its totient is φ = 7750080.

The previous prime is 28076317. The next prime is 28076341. The reversal of 28076328 is 82367082.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 28076292 and 28076301.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 46573 + ... + 47171.

It is an arithmetic number, because the mean of its divisors is an integer number (720000).

Almost surely, 228076328 is an apocalyptic number.

28076328 is a gapful number since it is divisible by the number (28) 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 28076328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46080000).

28076328 is an abundant number, since it is smaller than the sum of its proper divisors (64083672).

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

28076328 is a wasteful number, since it uses less digits than its factorization.

28076328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 28076328 is about 5298.7100316964. The cubic root of 28076328 is about 303.9345715609.

The spelling of 28076328 in words is "twenty-eight million, seventy-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 31 36 42 54 56 62 63 72 84 93 108 124 126 168 186 189 216 217 248 252 279 372 378 434 504 558 599 651 744 756 837 868 1116 1198 1302 1512 1674 1736 1797 1953 2232 2396 2604 3348 3594 3906 4193 4792 5208 5391 5859 6696 7188 7812 8386 10782 11718 12579 14376 15624 16173 16772 18569 21564 23436 25158 32346 33544 37138 37737 43128 46872 50316 55707 64692 74276 75474 100632 111414 113211 129384 129983 148552 150948 167121 222828 226422 259966 301896 334242 389949 445656 452844 501363 519932 668484 779898 905688 1002726 1039864 1169847 1336968 1559796 2005452 2339694 3119592 3509541 4010904 4679388 7019082 9358776 14038164 28076328