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28747836 = 223213195361
BaseRepresentation
bin110110110101…
…0100000111100
32000002112121200
41231222200330
524324412321
62504055500
7466231635
oct155524074
960075550
1028747836
1115255747
129764590
135c57070
143b6488c
1527ccd26
hex1b6a83c

28747836 has 144 divisors (see below), whose sum is σ = 85307040. Its totient is φ = 8087040.

The previous prime is 28747813. The next prime is 28747837. The reversal of 28747836 is 63874782.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 28747791 and 28747800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28747837) 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 47 ways as a sum of consecutive naturals, for example, 471246 + ... + 471306.

It is an arithmetic number, because the mean of its divisors is an integer number (592410).

It is a vampire number, since it can be written as 34778268 (with its own digits).

Almost surely, 228747836 is an apocalyptic number.

28747836 is a gapful number since it is divisible by the number (26) 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 28747836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42653520).

28747836 is an abundant number, since it is smaller than the sum of its proper divisors (56559204).

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

28747836 is a wasteful number, since it uses less digits than its factorization.

28747836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 151 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 28747836 is about 5361.7008495439. The cubic root of 28747836 is about 306.3385973847.

The spelling of 28747836 in words is "twenty-eight million, seven hundred forty-seven thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 53 57 61 76 78 106 114 117 122 156 159 171 183 212 228 234 244 247 318 342 366 468 477 494 549 636 684 689 732 741 793 954 988 1007 1098 1159 1378 1482 1586 1908 2014 2067 2196 2223 2318 2379 2756 2964 3021 3172 3233 3477 4028 4134 4446 4636 4758 6042 6201 6466 6954 7137 8268 8892 9063 9516 9699 10431 12084 12402 12932 13091 13908 14274 15067 18126 19398 20862 24804 26182 28548 29097 30134 36252 38796 39273 41724 42029 45201 52364 58194 60268 61427 78546 84058 90402 116388 117819 122854 126087 135603 157092 168116 180804 184281 235638 245708 252174 271206 368562 378261 471276 504348 542412 552843 737124 756522 798551 1105686 1513044 1597102 2211372 2395653 3194204 4791306 7186959 9582612 14373918 28747836