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28104192000 = 212335319107
BaseRepresentation
bin11010001011001000…
…111111000000000000
32200112121222212201000
4122023020333000000
5430024133121000
620524430212000
72013306455553
oct321310770000
980477885630
1028104192000
1110a120a1465
125544054000
13285b69b611
14150875269a
15ae7498000
hex68b23f000

28104192000 has 832 divisors, whose sum is σ = 110401574400. Its totient is φ = 7033651200.

The previous prime is 28104191987. The next prime is 28104192007. The reversal of 28104192000 is 29140182.

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 (28104192007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 262655947 + ... + 262656053.

It is an arithmetic number, because the mean of its divisors is an integer number (132694200).

Almost surely, 228104192000 is an apocalyptic number.

28104192000 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 28104192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55200787200).

28104192000 is an abundant number, since it is smaller than the sum of its proper divisors (82297382400).

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

28104192000 is a wasteful number, since it uses less digits than its factorization.

28104192000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 28104192000 in words is "twenty-eight billion, one hundred four million, one hundred ninety-two thousand".