28834261293330 has 192 divisors, whose sum is σ = 76351374684000. Its totient is φ = 7548635381760.

The previous prime is 28834261293329. The next prime is 28834261293361. The reversal of 28834261293330 is 3339216243882.

It is a happy number.

28834261293330 is a `hidden beast` number, since 2 + 8 + 8 + 342 + 6 + 1 + 293 + 3 + 3 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 17559695169 + 28816701598161 = 132513^2 + 5368119^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5443505242 + ... + 5443510538.

Almost surely, 2^{28834261293330} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28834261293330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38175687342000).

28834261293330 is an abundant number, since it is smaller than the sum of its proper divisors (47517113390670).

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

28834261293330 is a wasteful number, since it uses less digits than its factorization.

28834261293330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10109 (or 10106 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 28834261293330 in words is "twenty-eight trillion, eight hundred thirty-four billion, two hundred sixty-one million, two hundred ninety-three thousand, three hundred thirty".