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28870203600 = 243352719101199
BaseRepresentation
bin11010111000110011…
…000101100011010000
32202112000101022002000
4122320303011203100
5433111233003400
621132432354000
72041300452540
oct327063054320
982460338060
1028870203600
11112755282a7
1257186a5900
1329512b1014
14157c391320
15b3e859600
hex6b8cc58d0

28870203600 has 960 divisors, whose sum is σ = 125468160000. Its totient is φ = 6158592000.

The previous prime is 28870203599. The next prime is 28870203653. The reversal of 28870203600 is 630207882.

It is a happy number.

28870203600 is a `hidden beast` number, since 28 + 8 + 7 + 0 + 20 + 3 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 145076301 + ... + 145076499.

It is an arithmetic number, because the mean of its divisors is an integer number (130696000).

Almost surely, 228870203600 is an apocalyptic number.

28870203600 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 28870203600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62734080000).

28870203600 is an abundant number, since it is smaller than the sum of its proper divisors (96597956400).

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

28870203600 is a wasteful number, since it uses less digits than its factorization.

28870203600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 28870203600 in words is "twenty-eight billion, eight hundred seventy million, two hundred three thousand, six hundred".