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28928956650048 = 263271319299371069
BaseRepresentation
bin1101001001111100011000…
…01011110101001001000000
310210102120200201200020001200
412210332030023311021000
512242433000400300143
6141305440151101200
76044022341210010
oct644761413651100
9123376621606050
1028928956650048
119243779941904
1232b2761071800
13131acb1821640
14720251937c40
1535279655b1d3
hex1a4f8c2f5240

28928956650048 has 1344 divisors, whose sum is σ = 111353266752000. Its totient is φ = 6964843511808.

The previous prime is 28928956650047. The next prime is 28928956650053. The reversal of 28928956650048 is 84005665982982.

28928956650048 is a `hidden beast` number, since 2 + 8 + 9 + 2 + 8 + 9 + 566 + 50 + 0 + 4 + 8 = 666.

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

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (28928956650047) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27061698858 + ... + 27061699926.

It is an arithmetic number, because the mean of its divisors is an integer number (82852133000).

Almost surely, 228928956650048 is an apocalyptic number.

28928956650048 is a gapful number since it is divisible by the number (28) 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 28928956650048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55676633376000).

28928956650048 is an abundant number, since it is smaller than the sum of its proper divisors (82424310101952).

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

28928956650048 is a wasteful number, since it uses less digits than its factorization.

28928956650048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2092 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 597196800, while the sum is 72.

The spelling of 28928956650048 in words is "twenty-eight trillion, nine hundred twenty-eight billion, nine hundred fifty-six million, six hundred fifty thousand, forty-eight".