102734281728 has 528 divisors, whose sum is σ = 333808384000. Its totient is φ = 30218158080.

The previous prime is 102734281717. The next prime is 102734281739. The reversal of 102734281728 is 827182437201.

It is an interprime number because it is at equal distance from previous prime (102734281717) and next prime (102734281739).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 516252573 + ... + 516252771.

Almost surely, 2^102734281728 is an apocalyptic number.

102734281728 is a gapful number since it is divisible by the number (18) 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 102734281728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166904192000).

102734281728 is an abundant number, since it is smaller than the sum of its proper divisors (231074102272).

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

102734281728 is a wasteful number, since it uses less digits than its factorization.

102734281728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 102734281728 in words is "one hundred two billion, seven hundred thirty-four million, two hundred eighty-one thousand, seven hundred twenty-eight".