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28646436 = 22371337709
BaseRepresentation
bin110110101000…
…1110000100100
31222220101112010
41231101300210
524313141221
62501554220
7465330210
oct155216044
958811463
1028646436
1115196545
129715970
135c1cb70
143b39940
1527acc76
hex1b51c24

28646436 has 96 divisors (see below), whose sum is σ = 84609280. Its totient is φ = 7340544.

The previous prime is 28646419. The next prime is 28646467. The reversal of 28646436 is 63464682.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 28646394 and 28646403.

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, 40050 + ... + 40758.

Almost surely, 228646436 is an apocalyptic number.

28646436 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 28646436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42304640).

28646436 is an abundant number, since it is smaller than the sum of its proper divisors (55962844).

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

28646436 is a wasteful number, since it uses less digits than its factorization.

28646436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 771 counting only the distinct ones).

The product of its digits is 165888, while the sum is 39.

The square root of 28646436 is about 5352.2365418580. The cubic root of 28646436 is about 305.9779983327.

The spelling of 28646436 in words is "twenty-eight million, six hundred forty-six thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 37 39 42 52 74 78 84 91 111 148 156 182 222 259 273 364 444 481 518 546 709 777 962 1036 1092 1418 1443 1554 1924 2127 2836 2886 3108 3367 4254 4963 5772 6734 8508 9217 9926 10101 13468 14889 18434 19852 20202 26233 27651 29778 36868 40404 52466 55302 59556 64519 78699 104932 110604 129038 157398 183631 193557 258076 314796 341029 367262 387114 550893 682058 734524 774228 1023087 1101786 1364116 2046174 2203572 2387203 4092348 4774406 7161609 9548812 14323218 28646436