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28024494432 = 2531127333049
BaseRepresentation
bin11010000110011000…
…111101100101100000
32200100002000211012020
4122012120331211200
5424343232310212
620512502101440
72011321162254
oct320630754540
980302024166
1028024494432
1110981107500
12552141a880
132848015aac
1414dbd28264
15ae04a3d8c
hex68663d960

28024494432 has 144 divisors (see below), whose sum is σ = 81970081200. Its totient is φ = 8375685120.

The previous prime is 28024494427. The next prime is 28024494437. The reversal of 28024494432 is 23449442082.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (28024494427) and next prime (28024494437).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28024494437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 831444 + ... + 864492.

It is an arithmetic number, because the mean of its divisors is an integer number (569236675).

Almost surely, 228024494432 is an apocalyptic number.

28024494432 is a gapful number since it is divisible by the number (22) 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 28024494432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40985040600).

28024494432 is an abundant number, since it is smaller than the sum of its proper divisors (53945586768).

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

28024494432 is a wasteful number, since it uses less digits than its factorization.

28024494432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33157 (or 33138 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 42.

The spelling of 28024494432 in words is "twenty-eight billion, twenty-four million, four hundred ninety-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 73 88 96 121 132 146 176 219 242 264 292 352 363 438 484 528 584 726 803 876 968 1056 1168 1452 1606 1752 1936 2336 2409 2904 3212 3504 3872 4818 5808 6424 7008 8833 9636 11616 12848 17666 19272 25696 26499 33049 35332 38544 52998 66098 70664 77088 99147 105996 132196 141328 198294 211992 264392 282656 363539 396588 423984 528784 727078 793176 847968 1057568 1090617 1454156 1586352 2181234 2412577 2908312 3172704 3998929 4362468 4825154 5816624 7237731 7997858 8724936 9650308 11633248 11996787 14475462 15995716 17449872 19300616 23993574 26538347 28950924 31991432 34899744 38601232 47987148 53076694 57901848 63982864 77202464 79615041 95974296 106153388 115803696 127965728 159230082 191948592 212306776 231607392 291921817 318460164 383897184 424613552 583843634 636920328 849227104 875765451 1167687268 1273840656 1751530902 2335374536 2547681312 3503061804 4670749072 7006123608 9341498144 14012247216 28024494432