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28652832 = 2533132551
BaseRepresentation
bin110110101001…
…1010100100000
31222220201022000
41231103110200
524313342312
62502044000
7465354645
oct155232440
958821260
1028652832
11151a032a
129719600
135c22a50
143b3bdcc
1527aeadc
hex1b53520

28652832 has 96 divisors (see below), whose sum is σ = 90034560. Its totient is φ = 8812800.

The previous prime is 28652821. The next prime is 28652857. The reversal of 28652832 is 23825682.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

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 15 ways as a sum of consecutive naturals, for example, 9957 + ... + 12507.

It is an arithmetic number, because the mean of its divisors is an integer number (937860).

Almost surely, 228652832 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 28652832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45017280).

28652832 is an abundant number, since it is smaller than the sum of its proper divisors (61381728).

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

28652832 is a wasteful number, since it uses less digits than its factorization.

28652832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2583 (or 2569 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 28652832 is about 5352.8340157341. The cubic root of 28652832 is about 306.0007689331. Note that the first 3 decimals are identical.

The spelling of 28652832 in words is "twenty-eight million, six hundred fifty-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2551 2808 3744 5102 5616 7653 10204 11232 15306 20408 22959 30612 33163 40816 45918 61224 66326 68877 81632 91836 99489 122448 132652 137754 183672 198978 244896 265304 275508 298467 367344 397956 530608 551016 596934 734688 795912 895401 1061216 1102032 1193868 1591824 1790802 2204064 2387736 3183648 3581604 4775472 7163208 9550944 14326416 28652832