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2028007800 = 2333527134127
BaseRepresentation
bin111100011100000…
…1111000101111000
312020100001110201000
41320320033011320
513123132222200
6533123125000
7101153532120
oct17070170570
95210043630
102028007800
11950837305
12487213760
13264202620
141534a9c80
15bd096300
hex78e0f178

2028007800 has 384 divisors, whose sum is σ = 8599449600. Its totient is φ = 427783680.

The previous prime is 2028007783. The next prime is 2028007801. The reversal of 2028007800 is 87008202.

It is a super-2 number, since 2×20280078002 = 8225631273721680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2028007801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 489337 + ... + 493463.

It is an arithmetic number, because the mean of its divisors is an integer number (22394400).

Almost surely, 22028007800 is an apocalyptic number.

2028007800 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 2028007800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4299724800).

2028007800 is an abundant number, since it is smaller than the sum of its proper divisors (6571441800).

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

2028007800 is a wasteful number, since it uses less digits than its factorization.

2028007800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4172 (or 4157 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 2028007800 is about 45033.4075992479. The cubic root of 2028007800 is about 1265.7750774021.

The spelling of 2028007800 in words is "two billion, twenty-eight million, seven thousand, eight hundred".