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28918253952 = 2732724671097
BaseRepresentation
bin11010111011101010…
…011000100110000000
32202122100210111202200
4122323222120212000
5433211033111302
621141310313200
72042423050200
oct327352304600
982570714680
1028918253952
111129a667235
1257307b8800
13295b235b93
1415848dc400
15b43b9b81c
hex6bba98980

28918253952 has 288 divisors, whose sum is σ = 97097172120. Its totient is φ = 8237150208.

The previous prime is 28918253929. The next prime is 28918253981. The reversal of 28918253952 is 25935281982.

It is a happy number.

28918253952 is a `hidden beast` number, since 28 + 9 + 1 + 82 + 539 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26360668 + ... + 26361764.

Almost surely, 228918253952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28918253952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48548586060).

28918253952 is an abundant number, since it is smaller than the sum of its proper divisors (68178918168).

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

28918253952 is a wasteful number, since it uses less digits than its factorization.

28918253952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1598 (or 1576 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 54.

The spelling of 28918253952 in words is "twenty-eight billion, nine hundred eighteen million, two hundred fifty-three thousand, nine hundred fifty-two".