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28723705920 = 26335721317307
BaseRepresentation
bin11010110000000100…
…001111100001000000
32202010210201110001000
4122300010033201000
5432311232042140
621110120412000
72034541320600
oct326004174100
982123643030
1028723705920
11111aa868438
125697617000
132929b3a2c0
141566b38c00
15b31a6ca30
hex6b010f840

28723705920 has 1344 divisors, whose sum is σ = 134846933760. Its totient is φ = 5685313536.

The previous prime is 28723705909. The next prime is 28723705973. The reversal of 28723705920 is 2950732782.

28723705920 is a `hidden beast` number, since 28 + 7 + 2 + 37 + 0 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 93562407 + ... + 93562713.

It is an arithmetic number, because the mean of its divisors is an integer number (100332540).

Almost surely, 228723705920 is an apocalyptic number.

28723705920 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 28723705920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67423466880).

28723705920 is an abundant number, since it is smaller than the sum of its proper divisors (106123227840).

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

28723705920 is a wasteful number, since it uses less digits than its factorization.

28723705920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 28723705920 in words is "twenty-eight billion, seven hundred twenty-three million, seven hundred five thousand, nine hundred twenty".