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28436263482 = 23112314130817
BaseRepresentation
bin11010011110111011…
…101111001000111010
32201101202211212010210
4122132323233020322
5431214140412412
621021411451550
72024451152154
oct323673571072
981352755123
1028436263482
1111072590700
1256172b6bb6
1328b2418213
14153a8b3ad4
15b166de83c
hex69eeef23a

28436263482 has 96 divisors (see below), whose sum is σ = 66105349632. Its totient is φ = 8135424000.

The previous prime is 28436263423. The next prime is 28436263489.

It is a happy number.

28436263482 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×284362634823 (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (28436263489) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 907338 + ... + 938154.

It is an arithmetic number, because the mean of its divisors is an integer number (688597392).

Almost surely, 228436263482 is an apocalyptic number.

28436263482 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 28436263482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33052674816).

28436263482 is an abundant number, since it is smaller than the sum of its proper divisors (37669086150).

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

28436263482 is a wasteful number, since it uses less digits than its factorization.

28436263482 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30916 (or 30905 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 48.

The spelling of 28436263482 in words is "twenty-eight billion, four hundred thirty-six million, two hundred sixty-three thousand, four hundred eighty-two".

Divisors: 1 2 3 6 11 22 31 33 41 62 66 82 93 121 123 186 242 246 341 363 451 682 726 902 1023 1271 1353 2046 2542 2706 3751 3813 4961 7502 7626 9922 11253 13981 14883 22506 27962 29766 30817 41943 61634 83886 92451 153791 184902 307582 338987 461373 677974 922746 955327 1016961 1263497 1910654 2033922 2526994 2865981 3728857 3790491 5731962 7457714 7580982 10508597 11186571 13898467 21017194 22373142 27796934 31525791 39168407 41695401 63051582 78336814 83390802 115594567 117505221 152883137 231189134 235010442 305766274 346783701 430852477 458649411 693567402 861704954 917298822 1292557431 2585114862 4739377247 9478754494 14218131741 28436263482