102328289280 has 768 divisors, whose sum is σ = 427242816000. Its totient is φ = 22741254144.

The previous prime is 102328289269. The next prime is 102328289299. The reversal of 102328289280 is 82982823201.

102328289280 is a `hidden beast` number, since 10 + 2 + 3 + 282 + 89 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 71607606 + ... + 71609034.

It is an arithmetic number, because the mean of its divisors is an integer number (556305750).

Almost surely, 2^102328289280 is an apocalyptic number.

102328289280 is a gapful number since it is divisible by the number (10) 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 102328289280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213621408000).

102328289280 is an abundant number, since it is smaller than the sum of its proper divisors (324914526720).

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

102328289280 is a wasteful number, since it uses less digits than its factorization.

102328289280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 102328289280 in words is "one hundred two billion, three hundred twenty-eight million, two hundred eighty-nine thousand, two hundred eighty".