28605671435352 has 128 divisors (see below), whose sum is σ = 80734778265600. Its totient is φ = 8366455372800.

The previous prime is 28605671435249. The next prime is 28605671435353. The reversal of 28605671435352 is 25353417650682.

It is a junction number, because it is equal to n+sod(n) for n = 28605671435292 and 28605671435301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28605671435353) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20587977 + ... + 21933447.

It is an arithmetic number, because the mean of its divisors is an integer number (630740455200).

Almost surely, 2^{28605671435352} is an apocalyptic number.

28605671435352 is a gapful number since it is divisible by the number (22) 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 28605671435352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40367389132800).

28605671435352 is an abundant number, since it is smaller than the sum of its proper divisors (52129106830248).

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

28605671435352 is a wasteful number, since it uses less digits than its factorization.

28605671435352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348297 (or 1348293 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 57.

The spelling of 28605671435352 in words is "twenty-eight trillion, six hundred five billion, six hundred seventy-one million, four hundred thirty-five thousand, three hundred fifty-two".