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28032113400 = 233522953113269
BaseRepresentation
bin11010000110110110…
…000001101011111000
32200100121100220110020
4122012312001223320
5424402210112100
620513333250440
72011443014064
oct320666015370
980317326406
1028032113400
1110985440775
125523a93a20
132849782965
1414dcd4caa4
15ae0eab5a0
hex686d81af8

28032113400 has 384 divisors, whose sum is σ = 92746296000. Its totient is φ = 6992527360.

The previous prime is 28032113383. The next prime is 28032113411. The reversal of 28032113400 is 431123082.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104208466 + ... + 104208734.

Almost surely, 228032113400 is an apocalyptic number.

28032113400 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 28032113400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46373148000).

28032113400 is an abundant number, since it is smaller than the sum of its proper divisors (64714182600).

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

28032113400 is a wasteful number, since it uses less digits than its factorization.

28032113400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 28032113400 its reverse (431123082), we get a palindrome (28463236482).

The spelling of 28032113400 in words is "twenty-eight billion, thirty-two million, one hundred thirteen thousand, four hundred".