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28573342043904 = 28367176312039
BaseRepresentation
bin1100111111100101111111…
…11001110000111100000000
310202011120210100001111000000
412133302333321300330000
512221121201030401104
6140434225004000000
76006233024012430
oct637627771607400
9122146710044000
1028573342043904
119116982750899
123255856530000
1312c35ba983578
1470ad585382c0
153483d164a639
hex19fcbfe70f00

28573342043904 has 1008 divisors, whose sum is σ = 103693324815360. Its totient is φ = 7667648593920.

The previous prime is 28573342043903. The next prime is 28573342043927. The reversal of 28573342043904 is 40934024337582.

It is a happy number.

28573342043904 is a `hidden beast` number, since 2 + 8 + 573 + 3 + 4 + 20 + 43 + 9 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×285733420439042 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28573342043903) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 14013408517 + ... + 14013410555.

It is an arithmetic number, because the mean of its divisors is an integer number (102870361920).

Almost surely, 228573342043904 is an apocalyptic number.

28573342043904 is a gapful number since it is divisible by the number (24) 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 28573342043904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51846662407680).

28573342043904 is an abundant number, since it is smaller than the sum of its proper divisors (75119982771456).

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

28573342043904 is an equidigital number, since it uses as much as digits as its factorization.

28573342043904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2728 (or 2699 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 28573342043904 in words is "twenty-eight trillion, five hundred seventy-three billion, three hundred forty-two million, forty-three thousand, nine hundred four".