28685631658320 has 1600 divisors, whose sum is σ = 133239898767360. Its totient is φ = 5548779417600.

The previous prime is 28685631658297. The next prime is 28685631658349. The reversal of 28685631658320 is 2385613658682.

28685631658320 is a `hidden beast` number, since 2 + 8 + 6 + 8 + 563 + 1 + 65 + 8 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 347280225 + ... + 347362815.

Almost surely, 2^{28685631658320} is an apocalyptic number.

28685631658320 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 28685631658320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66619949383680).

28685631658320 is an abundant number, since it is smaller than the sum of its proper divisors (104554267109040).

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

28685631658320 is a wasteful number, since it uses less digits than its factorization.

28685631658320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82686 (or 82671 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 28685631658320 in words is "twenty-eight trillion, six hundred eighty-five billion, six hundred thirty-one million, six hundred fifty-eight thousand, three hundred twenty".