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28153198080 = 293357311877
BaseRepresentation
bin11010001110000011…
…111011011000000000
32200200001012122102000
4122032003323120000
5430124204314310
620533340424000
72014443143460
oct321603733000
980601178360
1028153198080
1110a37823457
125558548000
1328688994b7
14151106bba0
15aeb9284c0
hex68e0fb600

28153198080 has 640 divisors, whose sum is σ = 118038159360. Its totient is φ = 6224117760.

The previous prime is 28153198063. The next prime is 28153198127. The reversal of 28153198080 is 8089135182.

It is a happy number.

28153198080 is a `hidden beast` number, since 28 + 1 + 531 + 98 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14998102 + ... + 14999978.

It is an arithmetic number, because the mean of its divisors is an integer number (184434624).

Almost surely, 228153198080 is an apocalyptic number.

28153198080 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 28153198080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59019079680).

28153198080 is an abundant number, since it is smaller than the sum of its proper divisors (89884961280).

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

28153198080 is a wasteful number, since it uses less digits than its factorization.

28153198080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1947 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 28153198080 in words is "twenty-eight billion, one hundred fifty-three million, one hundred ninety-eight thousand, eighty".