28589210189760 has 448 divisors, whose sum is σ = 101723745613824. Its totient is φ = 6741754675200.

The previous prime is 28589210189747. The next prime is 28589210189783. The reversal of 28589210189760 is 6798101298582.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 28589210189691 and 28589210189700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2485364169 + ... + 2485375671.

Almost surely, 2^{28589210189760} is an apocalyptic number.

28589210189760 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 28589210189760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50861872806912).

28589210189760 is an abundant number, since it is smaller than the sum of its proper divisors (73134535424064).

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

28589210189760 is a wasteful number, since it uses less digits than its factorization.

28589210189760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17932 (or 17922 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 66.

The spelling of 28589210189760 in words is "twenty-eight trillion, five hundred eighty-nine billion, two hundred ten million, one hundred eighty-nine thousand, seven hundred sixty".