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28013051640 = 2335779741843
BaseRepresentation
bin11010000101101101…
…010011111011111000
32200022021111110122010
4122011231103323320
5424332320123030
620511412525520
72011122003330
oct320555237370
980267443563
1028013051640
1110975701352
1255196208a0
13284583a602
1414da5ca0c0
15ade4936b0
hex685b53ef8

28013051640 has 128 divisors (see below), whose sum is σ = 96167554560. Its totient is φ = 6394796544.

The previous prime is 28013051617. The next prime is 28013051669. The reversal of 28013051640 is 4615031082.

It is a Cunningham number, because it is equal to 1673712-1.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 28013051598 and 28013051607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 648559 + ... + 690401.

It is an arithmetic number, because the mean of its divisors is an integer number (751309020).

Almost surely, 228013051640 is an apocalyptic number.

28013051640 is a gapful number since it is divisible by the number (20) 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 28013051640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48083777280).

28013051640 is an abundant number, since it is smaller than the sum of its proper divisors (68154502920).

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

28013051640 is a wasteful number, since it uses less digits than its factorization.

28013051640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42661 (or 42657 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 28013051640 in words is "twenty-eight billion, thirteen million, fifty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 797 840 1594 2391 3188 3985 4782 5579 6376 7970 9564 11158 11955 15940 16737 19128 22316 23910 27895 31880 33474 41843 44632 47820 55790 66948 83685 83686 95640 111580 125529 133896 167370 167372 209215 223160 251058 292901 334740 334744 418430 502116 585802 627645 669480 836860 878703 1004232 1171604 1255290 1464505 1673720 1757406 2343208 2510580 2929010 3514812 4393515 5021160 5858020 7029624 8787030 11716040 17574060 33348871 35148120 66697742 100046613 133395484 166744355 200093226 233442097 266790968 333488710 400186452 466884194 500233065 666977420 700326291 800372904 933768388 1000466130 1167210485 1333954840 1400652582 1867536776 2000932260 2334420970 2801305164 3501631455 4001864520 4668841940 5602610328 7003262910 9337683880 14006525820 28013051640